Simplify fourth root of 36

$\sqrt[4]{36}$

Step 1

Rewrite $36$ as $6^{2}$ .

$\sqrt[4]{6^{2}}$

Step 2

Rewrite $\sqrt[4]{6^{2}}$ as $\sqrt{\sqrt{6^{2}}}$ .

$\sqrt{\sqrt{6^{2}}}$

Step 3

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

$\sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{6}$

Decimal Form:

$2.44948974 \dots$