Simplify square root of x^9

$\sqrt{x^{9}}$

Step 1

Rewrite $x^{9}$ as ${(x^{4})}^{2} x$ .

Factor out $x^{8}$ .

$\sqrt{x^{8} x}$

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

$\sqrt{{(x^{4})}^{2} x}$

Step 2

Pull terms out from under the radical.

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