Simplify square root of x^5

$\sqrt{x^{5}}$

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

Factor out $x^{4}$ .

$\sqrt{x^{4} x}$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\sqrt{{(x^{2})}^{2} x}$

Pull terms out from under the radical.

$x^{2} \sqrt{x}$