Basic Math Examples

$66 (5 \sqrt{2}) (3 \sqrt{6})$

Step 1

Multiply $5$ by $66$ .

$330 \sqrt{2} (3 \sqrt{6})$

Step 2

Multiply $330 \sqrt{2} (3 \sqrt{6})$ .

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Step 2.1

Multiply $3$ by $330$ .

$990 \sqrt{2} \sqrt{6}$

Step 2.2

Combine using the product rule for radicals.

$990 \sqrt{6 \cdot 2}$

Step 2.3

Multiply $6$ by $2$ .

$990 \sqrt{12}$

$990 \sqrt{12}$

Step 3

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

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Step 3.1

Factor $4$ out of $12$ .

$990 \sqrt{4 (3)}$

Step 3.2

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

$990 \sqrt{2^{2} \cdot 3}$

$990 \sqrt{2^{2} \cdot 3}$

Step 4

Pull terms out from under the radical.

$990 (2 \sqrt{3})$

Step 5

Multiply $2$ by $990$ .

$1980 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$1980 \sqrt{3}$

Decimal Form:

$3429.46059898 \dots$

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