Answer
$\frac{10}{2x}$.
Work Step by Step
The given expression is
$=\sqrt{\frac{100}{4x^2}}$
Use quotient property of square roots.
$=\frac{\sqrt{100}}{\sqrt{4x^2}}$
Use product property of square roots.
$=\frac{\sqrt{100}}{\sqrt{4}\sqrt{x^2}}$
Use $100=10^2$ and $4=2^2$.
$=\frac{\sqrt{10^2}}{\sqrt{2^2}\sqrt{x^2}}$
Simplify.
$=\frac{10}{2x}$.
