Simplify square root of 64x^10y^22

$\sqrt{64 x^{10} y^{22}}$

Step 1

Rewrite $64 x^{10} y^{22}$ as ${(8 x^{5} y^{11})}^{2}$ .

$\sqrt{{(8 x^{5} y^{11})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$8 x^{5} y^{11}$