Simplify square root of b^7

$\sqrt{b^{7}}$

Step 1

Rewrite $b^{7}$ as ${(b^{3})}^{2} b$ .

Factor out $b^{6}$ .

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

Rewrite $b^{6}$ as ${(b^{3})}^{2}$ .

$\sqrt{{(b^{3})}^{2} b}$

Step 2

Pull terms out from under the radical.

$b^{3} \sqrt{b}$