Trigonometry Examples

$\sqrt{12} \sqrt{6}$

Step 1

Combine using the product rule for radicals.

$\sqrt{12 \cdot 6}$

Step 2

Multiply $12$ by $6$ .

$\sqrt{72}$

Step 3

Rewrite $72$ as $6^{2} \cdot 2$ .

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Step 3.1

Factor $36$ out of $72$ .

$\sqrt{36 (2)}$

Step 3.2

Rewrite $36$ as $6^{2}$ .

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

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

Step 4

Pull terms out from under the radical.

$6 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{2}$

Decimal Form:

$8.48528137 \dots$

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