Simplify the Radical Expression square root of x^13

$\sqrt{x^{13}}$

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

Factor out $x^{12}$ .

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

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

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

Pull terms out from under the radical.

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

Remove non-negative terms from the absolute value.

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