Simplify square root of t^5

$\sqrt{t^{5}}$

Step 1

Rewrite $t^{5}$ as ${(t^{2})}^{2} t$ .

Factor out $t^{4}$ .

$\sqrt{t^{4} t}$

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

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

Step 2

Pull terms out from under the radical.

$t^{2} \sqrt{t}$