Question

Which expression is the simplified form of sqrt63W^36 ?

Answer 1

\[\sqrt{63w^{36}}\]

Answer 2

yea dat

Answer 3

alright first take the number 63 and factor it to find what you can split it into. From doing so, you'll see that 63=9*7, correct?

Answer 4

uh Yea

Answer 5

next split the

\[w^{36}\] into 2 terms. using \[w^n*w^d=w^{n+d}\] if you split it into two equal parts you get

\[w^{18}*w^{18}\]

Answer 6

now rewrite the square root

\[\sqrt{7*9*w^{18}*w^{18}}\]

the whole point of this is to try and get 2 terms inside the square root so you can pull them out.. another thing you can do is write 9 as 3*3

\[\sqrt{7*3*3*w^{18}*w^{18}}\]

Answer 7

everything you have 2 of you pull out of the square root what do you get?

Answer 8

so its 3W^18sqrt7?

Answer 9

yep

Answer 10

\[3w^{18}\sqrt{7}\]

Answer 11

Thank You <3 !