Solve sqrt{4/30}

$$\sqrt { \frac { 4 } { 30 } }$$

Evaluate

$$\frac{\sqrt{30}}{15}\approx 0.365148372$$

Solution Steps

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

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

Rewrite the square root of the division \sqrt{\frac{2}{15}} as the division of square roots \frac{\sqrt{2}}{\sqrt{15}}.

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

Rationalize the denominator of \frac{\sqrt{2}}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

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

The square of \sqrt{15} is 15.

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

To multiply \sqrt{2} and \sqrt{15}, multiply the numbers under the square root.

$$\frac{\sqrt{30}}{15}$$