Answer
$\sqrt{9x^{5}y^{7}}=3x^{2}y^{3}\sqrt{xy}$
Work Step by Step
$\sqrt{9x^{5}y^{7}}$
Take the square root of each factor and then simplify:
$\sqrt{9x^{5}y^{7}}=\sqrt{9}\cdot\sqrt{x^{5}}\cdot\sqrt{y^{7}}=...$
$...=(3)(x^{2}\sqrt{x})(y^{3}\sqrt{y})=3x^{2}y^{3}\sqrt{xy}$