Answer
$3x^{2}y^{3}$
Work Step by Step
$\sqrt (9x^{4}y^{6})=3x^{2}y^{3}$, because $(3x^{2}y^{3})^{2}=3x^{2}y^{3}\times 3x^{2}y^{3}=(3\times3)\times x^{2+2}\times y^{3+3}=9x^{4}y^{6}$
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