Answer
$\frac{2x^2}{y}\sqrt {2xy}$
Work Step by Step
$\sqrt {\frac {24x^5}{3y}}$
$\sqrt {\frac {3*2*2^2*x^4*x}{3y}}$
$\sqrt {\frac {3*2*2^2*x^4*x}{3y}*\frac{3y}{3y}}$
$\sqrt {\frac {3^2*2*2^2*x^4*xy}{3^2y^2}}$
$6x^2/3y\sqrt {2xy}$
$\frac{2x^2}{y}\sqrt {2xy}$
