Simplify cube root of square root of 25

$\sqrt[3]{\sqrt{25}}$

Step 1

Rewrite $25$ as $5^{2}$ .

$\sqrt[3]{\sqrt{5^{2}}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt[3]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{5}$

Decimal Form:

$1.70997594 \dots$