Algebra Examples

$\sqrt[3]{\sqrt{8}}$

Step 1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 1.1

Factor $4$ out of $8$ .

$\sqrt[3]{\sqrt{4 (2)}}$

Step 1.2

Rewrite $4$ as $2^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.41421356 \dots$

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