Solve 3sqrt{6}51/sqrt{5}

$$3 \sqrt { 6 } 5 \frac { 1 } { \sqrt { 5 } }$$

Evaluate

$$3\sqrt{30}\approx 16.431676725$$

Solution Steps

Multiply 3 and 5 to get 15.

$$15\sqrt{6}\times \frac{1}{\sqrt{5}}$$

Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$15\sqrt{6}\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$15\sqrt{6}\times \frac{\sqrt{5}}{5}$$

Cancel out 5, the greatest common factor in 15 and 5.

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

To multiply \sqrt{5} and \sqrt{6}, multiply the numbers under the square root.

$$3\sqrt{30}$$