Solve frac{sqrt{3}}{2}(1/2)+frac{sqrt{3}}{2}(1/2)

$$\frac{ \sqrt{ 3 } }{ 2 } ( \frac{ 1 }{ 2 } )+ \frac{ \sqrt{ 3 } }{ 2 } ( \frac{ 1 }{ 2 } )$$

Evaluate

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Solution Steps

Multiply \frac{\sqrt{3}}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}}{2\times 2}+\frac{\sqrt{3}}{2}\times \frac{1}{2}$$

Multiply \frac{\sqrt{3}}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}}{2\times 2}+\frac{\sqrt{3}}{2\times 2}$$

Combine \frac{\sqrt{3}}{2\times 2} and \frac{\sqrt{3}}{2\times 2} to get 2\times \frac{\sqrt{3}}{2\times 2}.

$$2\times \frac{\sqrt{3}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$2\times \frac{\sqrt{3}}{4}$$

Cancel out 4, the greatest common factor in 2 and 4.

$$\frac{\sqrt{3}}{2}$$