Trigonometry Examples

$\sqrt{65} \cdot \sqrt{26}$

Step 1

Combine using the product rule for radicals.

$\sqrt{65 \cdot 26}$

Step 2

Multiply $65$ by $26$ .

$\sqrt{1690}$

Step 3

Rewrite $1690$ as $13^{2} \cdot 10$ .

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Step 3.1

Factor $169$ out of $1690$ .

$\sqrt{169 (10)}$

Step 3.2

Rewrite $169$ as $13^{2}$ .

$\sqrt{13^{2} \cdot 10}$

$\sqrt{13^{2} \cdot 10}$

Step 4

Pull terms out from under the radical.

$13 \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$13 \sqrt{10}$

Decimal Form:

$41.10960958 \dots$

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