Simplify square root of x^2y^10z

$\sqrt{x^{2} y^{10} z}$

Step 1

Rewrite $x^{2} y^{10} z$ as ${(x y^{5})}^{2} z$ .

Rewrite $y^{10}$ as ${(y^{5})}^{2}$ .

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

Rewrite $x^{2} {(y^{5})}^{2}$ as ${(x y^{5})}^{2}$ .

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

Step 2

Pull terms out from under the radical.

$x y^{5} \sqrt{z}$