Pre-Algebra Examples

$\sqrt[15]{11^{3}}$

Step 1

Raise $11$ to the power of $3$ .

$\sqrt[15]{1331}$

Step 2

Rewrite $1331$ as $11^{3}$ .

$\sqrt[15]{11^{3}}$

Step 3

Rewrite $\sqrt[15]{11^{3}}$ as $\sqrt[5]{\sqrt[3]{11^{3}}}$ .

$\sqrt[5]{\sqrt[3]{11^{3}}}$

Step 4

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

$\sqrt[5]{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[5]{11}$

Decimal Form:

$1.61539426 \dots$