Solve sqrt{39/11}

$$\sqrt{ \frac{ 39 }{ 11 } }$$

Evaluate

$$\frac{\sqrt{429}}{11}\approx 1.882937743$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{39}{11}} as the division of square roots \frac{\sqrt{39}}{\sqrt{11}}.

$$\frac{\sqrt{39}}{\sqrt{11}}$$

Rationalize the denominator of \frac{\sqrt{39}}{\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.

$$\frac{\sqrt{39}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}$$

The square of \sqrt{11} is 11.

$$\frac{\sqrt{39}\sqrt{11}}{11}$$

To multiply \sqrt{39} and \sqrt{11}, multiply the numbers under the square root.

$$\frac{\sqrt{429}}{11}$$