Find the Exact Value fourth root of 25

$\sqrt[4]{25}$

Step 1

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

$\sqrt[4]{5^{2}}$

Step 2

Rewrite $\sqrt[4]{5^{2}}$ as $\sqrt{\sqrt{5^{2}}}$ .

$\sqrt{\sqrt{5^{2}}}$

Step 3

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

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$