Algebra Examples

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

Step 1

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

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Step 1.1

Combine using the product rule for radicals.

$2 \sqrt{3} + 2 \sqrt{2 \cdot 3} - \sqrt{3}$

Step 1.2

Multiply $2$ by $3$ .

$2 \sqrt{3} + 2 \sqrt{6} - \sqrt{3}$

$2 \sqrt{3} + 2 \sqrt{6} - \sqrt{3}$

Step 2

Subtract $\sqrt{3}$ from $2 \sqrt{3}$ .

$\sqrt{3} + 2 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3} + 2 \sqrt{6}$

Decimal Form:

$6.63103029 \dots$

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