Question

Which expression is the simplified form of √k^17

Answer 1

@amistre64 Help?

Answer 2

see atttach

Answer 3

What attach?

Answer 4

is it \(\sqrt{k^{17}}\)?

Answer 5

Yes @satellite73

Answer 6

two goes in to 17 eight times, with a remainder of one, so your answer is \(k^8\sqrt{k}\)

Answer 7

hope the method is clear, it always works that way

Answer 8

What Where did 2 Come from?

Answer 9

square root
that is "second root"

Answer 10

but there is no 2 in the equation?

Answer 11

if you had the cube root you would divide the exponent by 3

Answer 12

OH GOTCHA!! THANKS!

Answer 13

ah that is because when you write a square root you do not write the index, but is it is two
in other words \(\sqrt{a}=\sqrt[2]{a}\) but we omit the two

Answer 14

Gotcha. Thanks!! and one more?

Answer 15

for other roots you have to write the index
cube roots, fourth roots etc
yw

Answer 16

go ahead we can do it

Answer 17

√72n^13

Answer 18

same idea as before, but this time we need to recall that \(72=36\times 2\) and therefore \(\sqrt{72}=\sqrt{36\times 2}=\sqrt{36}\times \sqrt{2}=6\sqrt{2}\)
you don't need to write the steps, that was my explanation

Answer 19

How did the thirty six turn into the 6???

Answer 20

what is the square root of 36?

Answer 21

and where did n go?

Answer 22

Ok gotcha on teh square root thing.

Answer 23

we are not done yet, i am working one piece at a time

Answer 24

OH ok. :)

Answer 25

first we find that \(\sqrt{72}=6\sqrt{2}\) then, just like last time, we say 2 goes in to 13 six times, with a remainder of 1, so \(\sqrt{n^{13}}=n^6\sqrt{n}\)

Answer 26

K gotcha!

Answer 27

putting them together you get
\[\sqrt{72n^{13}}=6n^6\sqrt{2n}\]

Answer 28

THANK YOU SOOOO MUCH YOU EXPLAINED IT PERFECTLY!!!!!

Answer 29

yw