Answer
$\frac{5x\sqrt {5x}}{y^2}$.
Work Step by Step
The given expression is
$=\sqrt {\frac{500x^3}{4y^4}}$
Divide factors in the radicand.
$=\sqrt {\frac{125x^3}{y^4}}$
Factor the radicands:
$=\sqrt {\frac{5^2\cdot 5x^2\cdot x}{y^4}}$
Simplify.
$=\frac{5x\sqrt {5x}}{y^2}$.
