Basic Math Examples

$\frac{12}{4} + 3 (8 - 2) \sqrt{12}$

Step 1

Divide $12$ by $4$ .

$3 + 3 (8 - 2) \sqrt{12}$

Step 2

Subtract $2$ from $8$ .

$3 + 3 \cdot 6 \sqrt{12}$

Step 3

Multiply $3$ by $6$ .

$3 + 18 \sqrt{12}$

Step 4

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

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Step 4.1

Factor $4$ out of $12$ .

$3 + 18 \sqrt{4 (3)}$

Step 4.2

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

$3 + 18 \sqrt{2^{2} \cdot 3}$

$3 + 18 \sqrt{2^{2} \cdot 3}$

Step 5

Pull terms out from under the radical.

$3 + 18 (2 \sqrt{3})$

Step 6

Multiply $2$ by $18$ .

$3 + 36 \sqrt{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$3 + 36 \sqrt{3}$

Decimal Form:

$65.35382907 \dots$

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