Simplify square root of 36a^4b

$\sqrt{36 a^{4} b}$

Step 1

Rewrite $36 a^{4} b$ as ${(6 a^{2})}^{2} b$ .

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

$\sqrt{6^{2} a^{4} b}$

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

$\sqrt{6^{2} {(a^{2})}^{2} b}$

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

$\sqrt{{(6 a^{2})}^{2} b}$

Step 2

Pull terms out from under the radical.

$6 a^{2} \sqrt{b}$