Answer
$5\sqrt{2xy}$
Work Step by Step
RECALL:
For any non-negative real numbers a and b,
$\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$
Use the rule above to obtain:
$=\sqrt{(5x)(10y)}
\\=\sqrt{50xy}$
Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect square, and then simplify to obtain:
$=\sqrt{25(2xy)}
\\=5\sqrt{2xy}$
