Trigonometry Examples

$\sqrt{12} \cdot \sqrt{30}$

Step 1

Combine using the product rule for radicals.

$\sqrt{12 \cdot 30}$

Step 2

Multiply $12$ by $30$ .

$\sqrt{360}$

Step 3

Rewrite $360$ as $6^{2} \cdot 10$ .

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Step 3.1

Factor $36$ out of $360$ .

$\sqrt{36 (10)}$

Step 3.2

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

$\sqrt{6^{2} \cdot 10}$

$\sqrt{6^{2} \cdot 10}$

Step 4

Pull terms out from under the radical.

$6 \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{10}$

Decimal Form:

$18.97366596 \dots$

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