Simplify fourth root of 36+ square root of 6

$\sqrt[4]{36} + \sqrt{6}$

Step 1

Simplify each term.

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

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

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

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

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

$\sqrt{6} + \sqrt{6}$

Step 2

Add $\sqrt{6}$ and $\sqrt{6}$ .

$2 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{6}$

Decimal Form:

$4.89897948 \dots$