Trigonometry Examples

$2 (\frac{2 \sqrt{11}}{7}) (- \frac{\sqrt{5}}{7})$

Step 1

Multiply $2 (\frac{2 \sqrt{11}}{7})$ .

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Step 1.1

Combine $2$ and $\frac{2 \sqrt{11}}{7}$ .

$\frac{2 (2 \sqrt{11})}{7} \cdot (- \frac{\sqrt{5}}{7})$

Step 1.2

Multiply $2$ by $2$ .

$\frac{4 \sqrt{11}}{7} \cdot (- \frac{\sqrt{5}}{7})$

Step 2

Multiply $\frac{4 \sqrt{11}}{7} (- \frac{\sqrt{5}}{7})$ .

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Step 2.1

Multiply $\frac{4 \sqrt{11}}{7}$ by $\frac{\sqrt{5}}{7}$ .

$- \frac{4 \sqrt{11} \sqrt{5}}{7 \cdot 7}$

Step 2.2

Combine using the product rule for radicals.

$- \frac{4 \sqrt{5 \cdot 11}}{7 \cdot 7}$

Step 2.3

Multiply $5$ by $11$ .

$- \frac{4 \sqrt{55}}{7 \cdot 7}$

Step 2.4

Multiply $7$ by $7$ .

$- \frac{4 \sqrt{55}}{49}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{4 \sqrt{55}}{49}$

Decimal Form:

$- 0.60540395 \dots$