Simplify square root of 36x^11

$\sqrt{36 x^{11}}$

Step 1

Rewrite $36 x^{11}$ as ${(6 x^{5})}^{2} x$ .

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} x^{11}}$

Factor out $x^{10}$ .

$\sqrt{6^{2} (x^{10} x)}$

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

$\sqrt{6^{2} ({(x^{5})}^{2} x)}$

Rewrite $6^{2} {(x^{5})}^{2}$ as ${(6 x^{5})}^{2}$ .

$\sqrt{{(6 x^{5})}^{2} x}$

Step 2

Pull terms out from under the radical.

$6 x^{5} \sqrt{x}$