Question

Simplify

4 sqrt sign 500
over
4 sqrt sign 5

Answer 1

is the four the index, as in \(\sqrt[4]{500}\) or is it a coefficient as in \(4\sqrt{500}\) ?

Answer 2

The first one. The index.

Answer 3

hmm then you can do this
\[\sqrt[4]{500}=\sqrt[4]{5\times 100}=\sqrt[4]{5}\sqrt[4]{100}=\sqrt[4]{5}\sqrt[4]{10^2}=\sqrt[4]{5}\sqrt{10}\]

Answer 4

or actually it would be a lot easier to write
\[\frac{\sqrt[4]{500}}{\sqrt[4]{5}}=\sqrt[4]{100}=\sqrt{10}\]

Answer 5

You made it seem easy xD. I appreciate your help!

Answer 6

yw

Answer 7

uh oh, I was just looking at the multiple choices here. and it's:

Answer 8

How should I go about it now?

Answer 9

can you post a shot of the question?

Answer 10

Yeah, one second.

Answer 11

hmm looks like that is a 400 up top, and not a 500

Answer 12

That would probably help,wouldnt it?

Answer 13

now the first step is to divide \(400\) by \(5\) and get \(\sqrt[4]{80}\)

Answer 14

since \(80=16\times 5\) and \(\sqrt[4]{16}=2\) you are left with
\[2\sqrt[4]{5}\]

Answer 15

Once again. Thanks so much for your help. Haha.

Answer 16

yw (again)