Basic Math Examples

\sqrt[3]{96}

$\sqrt[3]{96}$

Step 1

Rewrite

96

$96$ as

2^{3} \cdot 12

$2^{3} \cdot 12$ .

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Step 1.1

Factor

8

$8$ out of

96

$96$ .

\sqrt[3]{8 (12)}

$\sqrt[3]{8 (12)}$

Step 1.2

Rewrite

8

$8$ as

2^{3}

$2^{3}$ .

\sqrt[3]{2^{3} \cdot 12}

$\sqrt[3]{2^{3} \cdot 12}$

\sqrt[3]{2^{3} \cdot 12}

$\sqrt[3]{2^{3} \cdot 12}$

Step 2

Pull terms out from under the radical.

2 \sqrt[3]{12}

$2 \sqrt[3]{12}$

Step 3

The result can be shown in multiple forms.

Exact Form:

2 \sqrt[3]{12}

$2 \sqrt[3]{12}$

Decimal Form:

4.57885697 \dots

$4.57885697 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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