Basic Math Examples

$3 (\sqrt{12} - 8)$

Step 1

Simplify each term.

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Step 1.1

Rewrite $12$ as $2^{2} \cdot 3$ .

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Step 1.1.1

Factor $4$ out of $12$ .

$3 (\sqrt{4 (3)} - 8)$

Step 1.1.2

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

$3 (\sqrt{2^{2} \cdot 3} - 8)$

$3 (\sqrt{2^{2} \cdot 3} - 8)$

Step 1.2

Pull terms out from under the radical.

$3 (2 \sqrt{3} - 8)$

$3 (2 \sqrt{3} - 8)$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$3 (2 \sqrt{3}) + 3 \cdot - 8$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $3$ .

$6 \sqrt{3} + 3 \cdot - 8$

Step 2.2.2

Multiply $3$ by $- 8$ .

$6 \sqrt{3} - 24$

$6 \sqrt{3} - 24$

$6 \sqrt{3} - 24$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{3} - 24$

Decimal Form:

$- 13.60769515 \dots$

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