Trigonometry Examples

$2 (- \frac{\sqrt{6}}{7}) (\frac{\sqrt{43}}{7})$

Step 1

Multiply $2 (- \frac{\sqrt{6}}{7})$ .

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Step 1.1

Multiply $- 1$ by $2$ .

$- 2 \frac{\sqrt{6}}{7} \cdot \frac{\sqrt{43}}{7}$

Step 1.2

Combine $- 2$ and $\frac{\sqrt{6}}{7}$ .

$\frac{- 2 \sqrt{6}}{7} \cdot \frac{\sqrt{43}}{7}$

Step 2

Move the negative in front of the fraction.

$- \frac{2 \sqrt{6}}{7} \cdot \frac{\sqrt{43}}{7}$

Step 3

Multiply $- \frac{2 \sqrt{6}}{7} \cdot \frac{\sqrt{43}}{7}$ .

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Step 3.1

Multiply $\frac{\sqrt{43}}{7}$ by $\frac{2 \sqrt{6}}{7}$ .

$- \frac{\sqrt{43} (2 \sqrt{6})}{7 \cdot 7}$

Step 3.2

Combine using the product rule for radicals.

$- \frac{2 \sqrt{43 \cdot 6}}{7 \cdot 7}$

Step 3.3

Multiply $43$ by $6$ .

$- \frac{2 \sqrt{258}}{7 \cdot 7}$

Step 3.4

Multiply $7$ by $7$ .

$- \frac{2 \sqrt{258}}{49}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2 \sqrt{258}}{49}$

Decimal Form:

$- 0.65560728 \dots$