Basic Math Examples

$\sqrt{2} \cdot \sqrt{12}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 12}$

Step 2

Multiply

$2$ by

$12$ .

$\sqrt{24}$

Step 3

Rewrite

$24$ as

$2^{2} \cdot 6$ .

Tap for more steps...

Step 3.1

Factor

$4$ out of

$24$ .

$\sqrt{4 (6)}$

Step 3.2

Rewrite

$4$ as

$2^{2}$ .

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{6}$

Decimal Form:

$4.89897948 \dots$

$\sqrt[]{2} \cdot \sqrt[]{12}$

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