# How do you simplify: square root of x^6*y^6?

If you got $\sqrt{{x}^{6} {y}^{6}}$, divide each exponent by the index of the root (in this case, a square root has index 2), we obtain $\frac{6}{2} = 3$
$\sqrt{{x}^{6} {y}^{6}} = \sqrt{{x}^{2} {x}^{2} {x}^{2} {y}^{2} {y}^{2} {y}^{2}} = {x}^{3} {y}^{3}$