Solve 3*(frac{sqrt{3}}{2})-(-1)

$$3 \cdot ( \frac { \sqrt { 3 } } { 2 } ) - ( - 1 )$$

Evaluate

$$\frac{3\sqrt{3}}{2}+1\approx 3.598076211$$

Short Solution Steps

Express 3\times \frac{\sqrt{3}}{2} as a single fraction.

$$\frac{3\sqrt{3}}{2}-\left(-1\right)$$

The opposite of -1 is 1.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

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

Since \frac{3\sqrt{3}}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Factor

$$\frac{3 \sqrt{3} + 2}{2} = 3.598076211353316$$