Algebra Examples

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

Step 1

Raise $3$ to the power of $2$ .

$\sqrt[6]{9}$

Step 2

Rewrite $9$ as $3^{2}$ .

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

Step 3

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

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

Step 4

Pull terms out from under the radical.

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

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

$\sqrt[3]{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$