Question

Which expression is equivalent to ? Assume x > 0

Answer 1

Answer:

$\frac{2\sqrt{2}}{x^3}$

Step-by-step explanation:

$\sqrt{\frac{8}{x^6} }$

Take square root for top and bottom separately

$\frac{\sqrt{8} }{\sqrt{x^6} }$

square root (8) = $\sqrt{4*2}=2\sqrt{2}$

$\sqrt{x^6} =x^3$

$\frac{\sqrt{8}}{\sqrt{x^6}}=\frac{2\sqrt{2}}{x^3}$

$\frac{2\sqrt{2}}{x^3}$

Answer 2

The answer is the last one,

$\frac{ \sqrt[2]{2} }{ {x}^{3} }$