Solve 9/2*3sqrt{3}*1/2

$$\frac { 9 } { 2 } \times 3 \sqrt { 3 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{27\sqrt{3}}{4}\approx 11.691342951$$

Solution Steps

Express 3\times \frac{9}{2} as a single fraction.

$$\frac{3\times 9}{2}\sqrt{3}\times \frac{1}{2}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{2}\sqrt{3}\times \frac{1}{2}$$

Multiply \frac{27}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 1}{2\times 2}\sqrt{3}$$

Do the multiplications in the fraction \frac{27\times 1}{2\times 2}.

$$\frac{27}{4}\sqrt{3}$$