Solve sqrt{6/11}

$$\sqrt { \frac { 6 } { 11 } }$$

Evaluate

$$\frac{\sqrt{66}}{11}\approx 0.738548946$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{6}{11}} as the division of square roots \frac{\sqrt{6}}{\sqrt{11}}.

$$\frac{\sqrt{6}}{\sqrt{11}}$$

Rationalize the denominator of \frac{\sqrt{6}}{\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.

$$\frac{\sqrt{6}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}$$

The square of \sqrt{11} is 11.

$$\frac{\sqrt{6}\sqrt{11}}{11}$$

To multiply \sqrt{6} and \sqrt{11}, multiply the numbers under the square root.

$$\frac{\sqrt{66}}{11}$$