Solve frac{sqrt{3}}{2}*6/17+14

$$\frac { \sqrt { 3 } } { 2 } \times \frac { 6 } { 17 } + 14$$

Evaluate

$$\frac{3\sqrt{3}}{17}+14\approx 14.305656025$$

Short Solution Steps

Multiply \frac{\sqrt{3}}{2} times \frac{6}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}\times 6}{2\times 17}+14$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\sqrt{3}}{17}+14$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 14 times \frac{17}{17}.

$$\frac{3\sqrt{3}}{17}+\frac{14\times 17}{17}$$

Since \frac{3\sqrt{3}}{17} and \frac{14\times 17}{17} have the same denominator, add them by adding their numerators.

$$\frac{3\sqrt{3}+14\times 17}{17}$$

Do the multiplications in 3\sqrt{3}+14\times 17.

$$\frac{3\sqrt{3}+238}{17}$$

Factor

$$\frac{3 \sqrt{3} + 238}{17} = 14.305656024865096$$