Simplify square root of x^13

$\sqrt{x^{13}}$

Step 1

Rewrite $x^{13}$ as ${(x^{6})}^{2} x$ .

Factor out $x^{12}$ .

$\sqrt{x^{12} x}$

Rewrite $x^{12}$ as ${(x^{6})}^{2}$ .

$\sqrt{{(x^{6})}^{2} x}$

Step 2

Pull terms out from under the radical.

$x^{6} \sqrt{x}$