Solve 3/2pi+frac{9sqrt{3}}{8}-pi/3-sqrt{3}-frac{sqrt{3}}{4}+frac{sqrt{3}}{8}

$$\frac { 3 } { 2 } \pi + \frac { 9 \sqrt { 3 } } { 8 } - \frac { \pi } { 3 } - \sqrt { 3 } - \frac { \sqrt { 3 } } { 4 } + \frac { \sqrt { 3 } } { 8 }$$

Evaluate

$$\frac{7\pi }{6}\approx 3.665191429$$

Solution Steps

Combine \frac{3}{2}\pi and -\frac{\pi }{3} to get \frac{7}{6}\pi .

$$\frac{7}{6}\pi +\frac{9\sqrt{3}}{8}-\sqrt{3}-\frac{\sqrt{3}}{4}+\frac{\sqrt{3}}{8}$$

Combine \frac{9\sqrt{3}}{8} and -\sqrt{3} to get \frac{1}{8}\sqrt{3}.

$$\frac{7}{6}\pi +\frac{1}{8}\sqrt{3}-\frac{\sqrt{3}}{4}+\frac{\sqrt{3}}{8}$$

Combine \frac{1}{8}\sqrt{3} and -\frac{\sqrt{3}}{4} to get -\frac{1}{8}\sqrt{3}.

$$\frac{7}{6}\pi -\frac{1}{8}\sqrt{3}+\frac{\sqrt{3}}{8}$$

Combine -\frac{1}{8}\sqrt{3} and \frac{\sqrt{3}}{8} to get 0.

$$\frac{7}{6}\pi$$