Trigonometry Examples

$2 (\frac{4}{13}) (\sqrt{153})$

Step 1

Multiply $2 (\frac{4}{13})$ .

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Step 1.1

Combine $2$ and $\frac{4}{13}$ .

$\frac{2 \cdot 4}{13} \cdot \sqrt{153}$

Step 1.2

Multiply $2$ by $4$ .

$\frac{8}{13} \cdot \sqrt{153}$

$\frac{8}{13} \cdot \sqrt{153}$

Step 2

Rewrite $153$ as $3^{2} \cdot 17$ .

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Step 2.1

Factor $9$ out of $153$ .

$\frac{8}{13} \cdot \sqrt{9 (17)}$

Step 2.2

Rewrite $9$ as $3^{2}$ .

$\frac{8}{13} \cdot \sqrt{3^{2} \cdot 17}$

$\frac{8}{13} \cdot \sqrt{3^{2} \cdot 17}$

Step 3

Pull terms out from under the radical.

$\frac{8}{13} \cdot (3 \sqrt{17})$

Step 4

Multiply $\frac{8}{13} (3 \sqrt{17})$ .

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Step 4.1

Combine $3$ and $\frac{8}{13}$ .

$\frac{3 \cdot 8}{13} \sqrt{17}$

Step 4.2

Multiply $3$ by $8$ .

$\frac{24}{13} \sqrt{17}$

Step 4.3

Combine $\frac{24}{13}$ and $\sqrt{17}$ .

$\frac{24 \sqrt{17}}{13}$

$\frac{24 \sqrt{17}}{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{24 \sqrt{17}}{13}$

Decimal Form:

$7.61188730 \dots$

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