Solve sqrt{11/13}

$$\sqrt { \frac { 11 } { 13 } }$$

Evaluate

$$\frac{\sqrt{143}}{13}\approx 0.919866211$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{11}{13}} as the division of square roots \frac{\sqrt{11}}{\sqrt{13}}.

$$\frac{\sqrt{11}}{\sqrt{13}}$$

Rationalize the denominator of \frac{\sqrt{11}}{\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$\frac{\sqrt{11}\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$\frac{\sqrt{11}\sqrt{13}}{13}$$

To multiply \sqrt{11} and \sqrt{13}, multiply the numbers under the square root.

$$\frac{\sqrt{143}}{13}$$