Basic Math Examples

$3 \cdot (2 \sqrt{60})$

Step 1

Rewrite $60$ as $2^{2} \cdot 15$ .

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Step 1.1

Factor $4$ out of $60$ .

$3 \cdot (2 \sqrt{4 (15)})$

Step 1.2

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

$3 \cdot (2 \sqrt{2^{2} \cdot 15})$

$3 \cdot (2 \sqrt{2^{2} \cdot 15})$

Step 2

Pull terms out from under the radical.

$3 \cdot (2 (2 \sqrt{15}))$

Step 3

Multiply.

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Step 3.1

Multiply $2$ by $2$ .

$3 \cdot (4 \sqrt{15})$

Step 3.2

Multiply $4$ by $3$ .

$12 \sqrt{15}$

$12 \sqrt{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{15}$

Decimal Form:

$46.47580015 \dots$

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