Solve sqrt{1/83}

$$\sqrt { \frac { 1 } { 83 } }$$

Evaluate

$$\frac{\sqrt{83}}{83}\approx 0.10976426$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{1}{83}} as the division of square roots \frac{\sqrt{1}}{\sqrt{83}}.

$$\frac{\sqrt{1}}{\sqrt{83}}$$

Calculate the square root of 1 and get 1.

$$\frac{1}{\sqrt{83}}$$

Rationalize the denominator of \frac{1}{\sqrt{83}} by multiplying numerator and denominator by \sqrt{83}.

$$\frac{\sqrt{83}}{\left(\sqrt{83}\right)^{2}}$$

The square of \sqrt{83} is 83.

$$\frac{\sqrt{83}}{83}$$