Trigonometry Examples

$2 (\frac{\sqrt{19}}{5}) (- \frac{\sqrt{6}}{5})$

Step 1

Combine $2$ and $\frac{\sqrt{19}}{5}$ .

$\frac{2 \sqrt{19}}{5} \cdot (- \frac{\sqrt{6}}{5})$

Step 2

Multiply $\frac{2 \sqrt{19}}{5} (- \frac{\sqrt{6}}{5})$ .

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Step 2.1

Multiply $\frac{2 \sqrt{19}}{5}$ by $\frac{\sqrt{6}}{5}$ .

$- \frac{2 \sqrt{19} \sqrt{6}}{5 \cdot 5}$

Step 2.2

Combine using the product rule for radicals.

$- \frac{2 \sqrt{6 \cdot 19}}{5 \cdot 5}$

Step 2.3

Multiply $6$ by $19$ .

$- \frac{2 \sqrt{114}}{5 \cdot 5}$

Step 2.4

Multiply $5$ by $5$ .

$- \frac{2 \sqrt{114}}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{2 \sqrt{114}}{25}$

Decimal Form:

$- 0.85416626 \dots$