Trigonometry Examples

$\frac{1}{4} \cdot (\sqrt{2} + \sqrt{6})$

Step 1

Apply the distributive property.

$\frac{1}{4} \sqrt{2} + \frac{1}{4} \sqrt{6}$

Step 2

Combine $\frac{1}{4}$ and $\sqrt{2}$ .

$\frac{\sqrt{2}}{4} + \frac{1}{4} \sqrt{6}$

Step 3

Combine $\frac{1}{4}$ and $\sqrt{6}$ .

$\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{\sqrt{2} + \sqrt{6}}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{2} + \sqrt{6}}{4}$

Decimal Form:

$0.96592582 \dots$