Question

√8x^2 divided by √2x

Answer 1

`\sqrt{(8x^(2))/(2x)} = \frac{\sqrt{8x^(2)}}{√(2x)} = \frac{√(4)\sqrt{x^(2)}√(2)}{√(2x)} = (2x√(2))/(√(2x)) = (2x)/(√(x)) = 2√(x)`

Answer 2

Question: Simplify
`(√(8x^2))/(√(2x))`.

First off, you never want square roots on the bottom of a fraction, so let's multiply both sides by
`√(2x)` to get rid of it. All we have to do from there is simplify!


`(√(8x^2))/(√(2x))*(√(2x))/(√(2x))=(√(8x^2)*√(2x))/(2x)}=(√(16x^3))/(2x)=(4x√(x))/(2x)=\boxed{2√(x)}`