Trigonometry Examples

$\frac{1}{7} \cdot (13 - 2 \sqrt{30})$

Step 1

Apply the distributive property.

$\frac{1}{7} \cdot 13 + \frac{1}{7} (- 2 \sqrt{30})$

Step 2

Combine $\frac{1}{7}$ and $13$ .

$\frac{13}{7} + \frac{1}{7} (- 2 \sqrt{30})$

Step 3

Multiply $\frac{1}{7} (- 2 \sqrt{30})$ .

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Step 3.1

Combine $- 2$ and $\frac{1}{7}$ .

$\frac{13}{7} + \frac{- 2}{7} \sqrt{30}$

Step 3.2

Combine $\frac{- 2}{7}$ and $\sqrt{30}$ .

$\frac{13}{7} + \frac{- 2 \sqrt{30}}{7}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 - 2 \sqrt{30}}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{13 - 2 \sqrt{30}}{7}$

Decimal Form:

$0.29222126 \dots$