Answer
$\sqrt[6] {125r^{3}s^{2}}$
Work Step by Step
$\sqrt {5r}\sqrt[3] s=(5r)^{1/2}s^{1/3}=(5r)^{3/6}s^{2/6}=((5r)^{3}s^{2})^{1/6}=\sqrt[6] {125r^{3}s^{2}}$
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