Simplify square root of a^7

$\sqrt{a^{7}}$

Step 1

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

Factor out $a^{6}$ .

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

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

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

Step 2

Pull terms out from under the radical.

$a^{3} \sqrt{a}$