Solve frac{sqrt{5}}{2sqrt{3}}=

$$\frac { \sqrt { 5 } } { 2 \sqrt { 3 } } =$$

Evaluate

$$\frac{\sqrt{15}}{6}\approx 0.645497224$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{5}}{2\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{\sqrt{5}\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{\sqrt{5}\sqrt{3}}{2\times 3}$$

To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.

$$\frac{\sqrt{15}}{2\times 3}$$

Multiply 2 and 3 to get 6.

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