Solve frac{sqrt{5}}{6}-3sqrt{3}

$$\frac { \sqrt { 5 } } { 6 } - 3 \sqrt { 3 }$$

Evaluate

$$\frac{\sqrt{5}}{6}-3\sqrt{3}\approx -4.823474426$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -3\sqrt{3} times \frac{6}{6}.

$$\frac{\sqrt{5}}{6}+\frac{6\left(-3\right)\sqrt{3}}{6}$$

Since \frac{\sqrt{5}}{6} and \frac{6\left(-3\right)\sqrt{3}}{6} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{5}+6\left(-3\right)\sqrt{3}}{6}$$

Do the multiplications in \sqrt{5}+6\left(-3\right)\sqrt{3}.

$$\frac{\sqrt{5}-18\sqrt{3}}{6}$$

Factor

$$\frac{\sqrt{5} - 18 \sqrt{3}}{6} = -4.8234744264566665$$