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let 's define ourselves some sets . so let 's say the set a is composed of the numbers 1 . 3 . 5 , 7 , and 18 . let 's say that the set b -- let me do this in a different color -- let 's say that the set b is composed of 1 , 7 , and 18 . and let 's say that the set c is composed of 18 , 7 , 1 , and 19 . now what i want...
so we actually can write that b is a subset -- and this is a notation right over here , this is a subset -- b is a subset of a . b is a subset . so let me write that down .
does it hold true that if a and b are sets , and b is a strict subset of a , then b can not be equal nor equivalent to a ?
let 's define ourselves some sets . so let 's say the set a is composed of the numbers 1 . 3 . 5 , 7 , and 18 . let 's say that the set b -- let me do this in a different color -- let 's say that the set b is composed of 1 , 7 , and 18 . and let 's say that the set c is composed of 18 , 7 , 1 , and 19 . now what i want...
and there you might say , well , what does subset mean ? well , you 're a subset if every member of your set is also a member of the other set . so we actually can write that b is a subset -- and this is a notation right over here , this is a subset -- b is a subset of a .
is n't every thing a strict subset of the universal set ?
let 's define ourselves some sets . so let 's say the set a is composed of the numbers 1 . 3 . 5 , 7 , and 18 . let 's say that the set b -- let me do this in a different color -- let 's say that the set b is composed of 1 , 7 , and 18 . and let 's say that the set c is composed of 18 , 7 , 1 , and 19 . now what i want...
so , for example , we can write that a is a subset of a . in fact , every set is a subset of itself , because every one of its members is a member of a . we can not write that a is a strict subset of a .
is one significantly more common than the other ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
and so this hole -- let me take my finger out of here now -- this hole is called the foramen ovale . let me actually just label that for you , or foramen ovale . so the foramen ovale is this hole . so instead of calling it hole , you can now call it by its full name .
how long after birth does the foramen ovale remain operative ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
this process is called hypoxic , and that just means low oxygen . pulmonary , referring to the lungs -- hypoxic pulmonary . vaso , meaning blood vessel .
how does the connection between pulmonary arota and vein disappear after childbirth ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
and so when i said there are a couple of tricks , this is trick number one . trick number one is getting blood from the right atrium directly over to the left atrium . because you know that once it gets over there , now it just literally has bypassed the lungs .
since the artery does n't have any valves , would the blood leak from the aorta to the left atrium through the ductus arteriosus ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
in fact , about 10 % or so continues to the lungs , but 90 % actually goes through one of these two pathways , either through the ductus or through the foramen ovale . so these are the kind of interesting differences between the fetal heart and the adult heart .
why is the heart purple ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
no . a little bit of blood does go to lungs . in fact , about 10 % or so continues to the lungs , but 90 % actually goes through one of these two pathways , either through the ductus or through the foramen ovale .
ca n't blood just flow through the lungs regularly without having to find a shortcut ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
this process is called hypoxic , and that just means low oxygen . pulmonary , referring to the lungs -- hypoxic pulmonary . vaso , meaning blood vessel .
would it be correct in assuming that the remaining 10 % of blood that travels into the lungs provide the lungs with the appropriate oxygen and nutrients needed for the lungs themselves during fetal development ( and by extension , at least nutrient transport in adult lungs ) , or is this from an entirely different pulm...
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
you 're looking at this picture and you 're thinking , well , i do n't see any other place for blood to go . there 's only the left pulmonary artery and the right pulmonary artery . but there is another place .
since the aorta is positioned more on the left side of your heart , does blood only from the left pulmonary artery get to use the ductus arteriosus ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear distinction between oxygenated blood and deoxygenated blood . but in the fetal heart it 's are all very , very similar .
so how does the fetus gets oxygenated blood ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
and so -- bingo -- you 've got access , right ? right atrium blood is going to flow right into the left atrium , because the septum primum became a little flap and it fell away . so let me actually now re-sketch this out in the middle drawing , and make it the way it should be drawn .
is the entire pathway between the right atrium and the left atrium called the foramen ovale , or does that term only refer to the hole in the septum secundum ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
in fact , about 10 % or so continues to the lungs , but 90 % actually goes through one of these two pathways , either through the ductus or through the foramen ovale . so these are the kind of interesting differences between the fetal heart and the adult heart .
why is it important for the fetal heart to have both the ductus arterioss and foramen ovale , but not good for the adult heart to have these ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
so to do that , let me actually start out by drawing some lungs , because this is actually going to help inform the path of blood . so these are the lungs . let 's say this is the right lung .
so thats why lungs are developed last ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over .
i am thinking of persistent fetal circulation with vsd ... .. whats your opinion ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over .
does it always remain open ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
let me actually just label that for you , or foramen ovale . so the foramen ovale is this hole . so instead of calling it hole , you can now call it by its full name .
is that hole the foramen ovale which probably did n't close ?
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over . the first thing i want you to notice is that it 's mostly got what i 've drawn is kind of this purplish blood . in the adult heart we know there 's a real clear disti...
what you 're looking at is the fetal heart . it looks a lot like the adult heart , but a couple of interesting differences that we 're going to go over .
would n't blowing up part of the fetal heart result in killing the fetus ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can you get the square root of 4 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal root . principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
sal says that the principal square root is positive , but could it also be thought of as the absolute value of the square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can the square root of -9 be -3 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
does this mean that exponent to the 2nd power and square root are the same thing ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
so , let 's start with an example . so , we know that three to the second power is what ? three squared is what ?
the same with exponents to the 3rd power and cube roots ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
or is using a radical symbol not in simplest notation ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
so is sqare root basically the same thing as exponents ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is i want to get negative squares and how do i square big numbers ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the name of the square root sign ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
now , i know that there 's a nagging feeling that some of you might be having , because if i were to take negative three , and square it , and square it i would also get positive nine , and the same thing if i were to take negative four and i were to square the whole thing , i would also get positive 16 , or negative f...
why ca n't the number being `` square rooted '' be negative ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you solve a square root equation ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
for example 100 square root would be 10^2 but how would you figure it out if you did n't know that 10^2 equals 100 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the the square root of -9 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is there a difference between principle and perfect square roots ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you calculate square roots without a calculator ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
this is , there 's only one possible x here that satisfies it , because the standard convention , what most mathematicians have agreed to view this radical symbol as , is that this is a principal square root , this is the positive square root , so there 's only one x here . there 's only one x that would satisfy this ,...
if ( x+y ) ^2= 17 and xy=3 then the expression x^2+y^2 is equal to ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
so , we know that three to the second power is what ? three squared is what ? well , that 's the same thing as three times three and that 's going to be equal to nine .
what is the difference between a regular number squared and a number in brackets squared ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
well , that 's the same thing as three times three and that 's going to be equal to nine . but what if we went the other way around ? what if we started with the nine , and we said , well , what times itself is equal to nine ?
anyone have a solid universal way for solving perfect & non-perfect squares ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
when do you find a square root according to order of operations ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what are some ways to figure out the square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
when u are trying to find the square root of a decimal , do u divide it even though the decimal is already squared ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you find the square root of a negative ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
what is a 'radical ' symbol ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can i do a square root and cube root without calculator ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is there an easier way to find square roots like the square root of 1024 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
the second part of my earlier question is : if the two similar-looking symbols ( the radical or the long division symbol ) were meant to look similar , then does anyone happen to know which symbol came first ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
so ... are exponents and square roots the same thing ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is square root the inverse function of f ( x ) =x^2 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal root . principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
why does this convention exist that when we take square root of a number we always imply `` principal square root `` ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is square root of -100 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root . if someone wants the negative square root of nine , they might say something like this .
if the square of all numbers is positive , what 's sqrt ( -1 ) ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
if you have an odd number , such as 17 , how would you find a square root for it ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can we call the square root of 2 irrational when it can be expressed ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is it true that the square root of 169 is both 13 and -13 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
is the slag term `` radical '' related at all ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
so , it all works out . nine is equal , nine is equal to nine . and so this is an interesting thing , actually .
how is negative nine squared equal to nine ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you find the square root without a calculator ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the square root of 169 how do you find that ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
then is 3 to the 3rd power the same as the square root of 27 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
why is called square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol .
are spuare roots always perfect ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you write the square root symbol on a keyboard ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal root . principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can we , lets say solve , principal square root of 72 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
if people wanted to write something equivalent where you would have two x 's that could satisfy it , you might see something like this . plus or minus square root of nine is equal to x , and now x could take on positive three or negative three .
so does that mean that any negative to the x power ( x being any number ) is equal to a positive ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do i find the square root of a number like 12356 that is large ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
can there be a rational number that can be a root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can there be a negative decimal square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
so there is a negative root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is the square root of negative nine the same thing as the negative square root of nine ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
i have a question ... if you have a number like 18 , would the square root be 6 or 3 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
and what 's interesting about this is , well , if you square both sides of this , of this equation , if you were to square both sides of this equation , what do you get ? well negative , anything negative squared becomes a positive . and then the square root of nine squared , well , that 's just going to be nine .
why would a negative number square rooted become a positive number ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is there an easy way to find the square roots of larger numbers that you ca n't do with the help of mental math ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
so if we have the square root symbol and 24 , the answer could be 4 and -4 , right ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
when you are thinking of square and cube roots , do you think in dimensions ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
and then the square root of nine squared , well , that 's just going to be nine . and on the right-hand side , negative three squared , well , negative three times negative three is positive nine . so , it all works out .
say squares are one dimension , cubes twos are three dimensions , 3s ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is there a way to solve big square roots that are perfect squares that is somewhat like long division ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
who invented the root sign ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the best way to memorize square roots 1-30 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
is there a 1/2 root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what are some real-life examples of why you would need to find the square root of something ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can a square root be negative ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you find the square root of an odd number ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
but when you see a radical symbol like this , people usually call this the principal root . principal root . principal , principal square root .
what is a cube root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can you do square roots with negative numbers or not ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can you round a square root for example 8.5 round it to 9 and find the square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
and what 's interesting about this is , well , if you square both sides of this , of this equation , if you were to square both sides of this equation , what do you get ? well negative , anything negative squared becomes a positive . and then the square root of nine squared , well , that 's just going to be nine .
if negative 3 squared is positive 9 , how do you find the square root of negative 9 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actually mean ? and now that we know a little bit about exponents , we 'll see that the square root symbol or the root symbol or the radical is not so hard to u...
how high can you go with roots ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the least whole number greater than 1 that is both a perfect square and a perfect cube ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how do you figure out the square root of 289 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can there be a square root of infinity ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
how can you solve square roots ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
for example , how can you solve the square root of a very large number , not something like nine ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
is there a specific formula to finding the square root of a number ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
if you have an odd number , such as 17 , how would you find a square root for it ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
where did the square root symbol originate from ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
in the problem with the square root of 9 why was n't 9 multiplied by 2 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is the square root of 64 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
5 , what is a cube root and what is a square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
can someone re explain the concept of square roots and the negative square roots ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what is a square root ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
what if you want to find the square root of a big number , for example , 196 ?
if you 're watching a movie and someone is attempting to do fancy mathematics on a chalkboard , you 'll almost always see a symbol that looks like this . this radical symbol . and this is used to show the square root and we 'll see other types of roots as well , but your question is , well , what does this thing actua...
principal , principal square root . square root . and another way to think about it , it 's the positive , this is going to be the positive square root .
why does the square root help you ?