How to divide radicals w/ qoutient property?

Question

Answer 1

Hey Manoj,

I put together a quick video showing an example with quotient rule, and how to use it to help solve this problem.

Hope this helps!

Answer 2

Can you reduce and answer?

Answer 3

4 * sqrt(8x^3) / sqrt(20x^5)

Rewrite terms inside the square root

= 4 * (sqrt(4 * 2) * (x^3)^1/2) / (sqrt(4 * 5) * (x^5)^1/2

Factor out available square roots [i.e sqrt(4) = 2]

= 4 * 2 * sqrt(2) * x^(3/2) / 2 * sqrt(5) * x^(5/2)

Cancel out 2 from denominator and numerator and x terms [subtract x^3/2 from x^5/2]

= 4sqrt(2) / x * sqrt(5)