Algebra Examples

$\sqrt[3]{32}$

Step 1

Rewrite

$32$ as

$2^{3} \cdot 4$ .

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Step 1.1

Factor

$8$ out of

$32$ .

$\sqrt[3]{8 (4)}$

Step 1.2

Rewrite

$8$ as

$2^{3}$ .

$\sqrt[3]{2^{3} \cdot 4}$

$\sqrt[3]{2^{3} \cdot 4}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{4}$

Decimal Form:

$3.17480210 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$