Simplify square root of x^19

$\sqrt{x^{19}}$

Step 1

Rewrite $x^{19}$ as ${(x^{9})}^{2} x$ .

Factor out $x^{18}$ .

$\sqrt{x^{18} x}$

Rewrite $x^{18}$ as ${(x^{9})}^{2}$ .

$\sqrt{{(x^{9})}^{2} x}$

Step 2

Pull terms out from under the radical.

$x^{9} \sqrt{x}$