Answer
$\frac{x}{4}$
Work Step by Step
The given expression is
$=\sqrt{\frac{4x^2}{64}}$
Use quotient property of square roots.
$=\frac{\sqrt{4x^2}}{\sqrt{64}}$
Use $4=2^2$ and $64=8^2$.
$=\frac{\sqrt{2^2x^2}}{\sqrt{8^2}}$
Use product property of square roots.
$=\frac{\sqrt{2^2}\sqrt{x^2}}{\sqrt{8^2}}$
Simplify.
$=\frac{2x}{8}$.
$=\frac{x}{4}$.
