Basic Math Examples

- 4 \sqrt{24}

$- 4 \sqrt{24}$

Step 1

Rewrite

24

$24$ as

2^{2} \cdot 6

$2^{2} \cdot 6$ .

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Step 1.1

Factor

4

$4$ out of

24

$24$ .

- 4 \sqrt{4 (6)}

$- 4 \sqrt{4 (6)}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

- 4 \sqrt{2^{2} \cdot 6}

$- 4 \sqrt{2^{2} \cdot 6}$

- 4 \sqrt{2^{2} \cdot 6}

$- 4 \sqrt{2^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

- 4 (2 \sqrt{6})

$- 4 (2 \sqrt{6})$

Step 3

Multiply

2

$2$ by

- 4

$- 4$ .

- 8 \sqrt{6}

$- 8 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- 8 \sqrt{6}

$- 8 \sqrt{6}$

Decimal Form:

- 19.59591794 \dots

$- 19.59591794 \dots$

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

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