Finite Math Examples

$\sqrt{\sqrt[3]{36}}$

Step 1

Rewrite $\sqrt{\sqrt[3]{36}}$ as $\sqrt[6]{36}$ .

$\sqrt[6]{36}$

Step 2

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

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

Step 3

Rewrite $\sqrt[6]{6^{2}}$ as $\sqrt[3]{\sqrt{6^{2}}}$ .

$\sqrt[3]{\sqrt{6^{2}}}$

Step 4

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

$\sqrt[3]{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{6}$

Decimal Form:

$1.81712059 \dots$