Algebra Examples

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

Step 1

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

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Step 1.1

Multiply $2$ by $3$ .

$6 \sqrt{6} \sqrt{3}$

Step 1.2

Combine using the product rule for radicals.

$6 \sqrt{3 \cdot 6}$

Step 1.3

Multiply $3$ by $6$ .

$6 \sqrt{18}$

$6 \sqrt{18}$

Step 2

Rewrite $18$ as $3^{2} \cdot 2$ .

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Step 2.1

Factor $9$ out of $18$ .

$6 \sqrt{9 (2)}$

Step 2.2

Rewrite $9$ as $3^{2}$ .

$6 \sqrt{3^{2} \cdot 2}$

$6 \sqrt{3^{2} \cdot 2}$

Step 3

Pull terms out from under the radical.

$6 (3 \sqrt{2})$

Step 4

Multiply $3$ by $6$ .

$18 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$18 \sqrt{2}$

Decimal Form:

$25.45584412 \dots$

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