Simplify square root of 36x^5

$\sqrt{36 x^{5}}$

Step 1

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

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

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

Factor out $x^{4}$ .

$\sqrt{6^{2} (x^{4} x)}$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

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

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

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

Step 2

Pull terms out from under the radical.

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