Question

How can I simplify the radical
4th root of g^3 h^5 over 9r^6

Answer 1

It could be rewritten as this:

\[(g^{1/4}h^{5/4})/(9r^6)\]

I guess that would be simplification. The original looked like this, right?

\[(\sqrt[4]{g^3h^5})/(9r^6)\]

Answer 2

@chol ?

Answer 3

Yeah, yeah

Answer 4

was this helpful? What I did was rewrite it as (g^3 h^5) to the power of 1/4 instead of using fourth degree radical.

Answer 5

\[\sqrt[4]{g^3h^5 \over 9r^6}\]
It's like this

Answer 6

OOHHH... ok, then its a little different. I didn't realize the radical was over all of it. Give me 2 minutes:)

Answer 7

All right, this is what I have...

Answer 8

\[(g^{3/4}h^{5/4})/(\sqrt{3}r^{3/4})\]

Basically, I did the same thing as I did in the other one.

Answer 9

@chol ? you there? lol...

Answer 10

Yes I am

Answer 11

I find it hard in the radical. What will I do with it?

Answer 12

You can't do anything with the radical 3. You'll have to keep it, but it's simplified because the radical is no longer over the whole thing and there are no fourth roots.

Answer 13

So that's it? How about the exponents?

Answer 14

You have to have exponents. They are the exponents of variables, not numbers, so you can't get rid of them. What I gave you, believe or not, is as simplified as it gets:D

Answer 15

So rationalizing the denominator is not needed?

Answer 16

Not the way I was taught... o.O
In this case, it could make the equation more complicated.

Answer 17

You're right. But in the examples of our professor, he rationalizes the denominator even if it gets even more complicated as long as you remove the radicals.
And it's really mind-shaking.

Answer 18

my god... you think you can rationalize it yourself? I'm a little short on time:/
Hope I was helpful! Good luck with your studies:)

Answer 19

I don't know. But I'll try. Thank you a lot.

Answer 20

no problem:)