Solve -sqrt{3/11}

$$- \sqrt { \frac { 3 } { 11 } }$$

Evaluate

$$-\frac{\sqrt{33}}{11}\approx -0.522232968$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{3}{11}} as the division of square roots \frac{\sqrt{3}}{\sqrt{11}}.

$$-\frac{\sqrt{3}}{\sqrt{11}}$$

Rationalize the denominator of \frac{\sqrt{3}}{\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.

$$-\frac{\sqrt{3}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}$$

The square of \sqrt{11} is 11.

$$-\frac{\sqrt{3}\sqrt{11}}{11}$$

To multiply \sqrt{3} and \sqrt{11}, multiply the numbers under the square root.

$$-\frac{\sqrt{33}}{11}$$