Solve sqrt{(22div127)}

$$\sqrt{ (22 \div 127) }$$

Evaluate

$$\frac{\sqrt{2794}}{127}\approx 0.416207096$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{22}{127}} as the division of square roots \frac{\sqrt{22}}{\sqrt{127}}.

$$\frac{\sqrt{22}}{\sqrt{127}}$$

Rationalize the denominator of \frac{\sqrt{22}}{\sqrt{127}} by multiplying numerator and denominator by \sqrt{127}.

$$\frac{\sqrt{22}\sqrt{127}}{\left(\sqrt{127}\right)^{2}}$$

The square of \sqrt{127} is 127.

$$\frac{\sqrt{22}\sqrt{127}}{127}$$

To multiply \sqrt{22} and \sqrt{127}, multiply the numbers under the square root.

$$\frac{\sqrt{2794}}{127}$$