Simplify square root of t^15

$\sqrt{t^{15}}$

Step 1

Rewrite $t^{15}$ as ${(t^{7})}^{2} t$ .

Factor out $t^{14}$ .

$\sqrt{t^{14} t}$

Rewrite $t^{14}$ as ${(t^{7})}^{2}$ .

$\sqrt{{(t^{7})}^{2} t}$

Step 2

Pull terms out from under the radical.

$t^{7} \sqrt{t}$