Algebra Examples

$\sqrt[4]{32}$

Step 1

Rewrite

$32$ as

$2^{4} \cdot 2$ .

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Step 1.1

Factor

$16$ out of

$32$ .

$\sqrt[4]{16 (2)}$

Step 1.2

Rewrite

$16$ as

$2^{4}$ .

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt[4]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{2}$

Decimal Form:

$2.37841423 \dots$

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