Pre-Algebra Examples

$\sqrt[12]{13^{4}}$

Step 1

Raise $13$ to the power of $4$ .

$\sqrt[12]{28561}$

Step 2

Rewrite $28561$ as $13^{4}$ .

$\sqrt[12]{13^{4}}$

Step 3

Rewrite $\sqrt[12]{13^{4}}$ as $\sqrt[3]{\sqrt[4]{13^{4}}}$ .

$\sqrt[3]{\sqrt[4]{13^{4}}}$

Step 4

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

$\sqrt[3]{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{13}$

Decimal Form:

$2.35133468 \dots$