Simplify the Radical Expression square root of x^11

$\sqrt{x^{11}}$

Step 1

Rewrite $x^{11}$ as ${(x^{5})}^{2} x$ .

Factor out $x^{10}$ .

$\sqrt{x^{10} x}$

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

$\sqrt{{(x^{5})}^{2} x}$

Step 2

Pull terms out from under the radical.

$| x^{5} | \sqrt{x}$