Simplify square root of t^17

$\sqrt{t^{17}}$

Step 1

Rewrite $t^{17}$ as ${(t^{8})}^{2} t$ .

Factor out $t^{16}$ .

$\sqrt{t^{16} t}$

Rewrite $t^{16}$ as ${(t^{8})}^{2}$ .

$\sqrt{{(t^{8})}^{2} t}$

Step 2

Pull terms out from under the radical.

$t^{8} \sqrt{t}$