Solve sqrt{2/182}

$$\sqrt { \frac { 2 } { 182 } }$$

Evaluate

$$\frac{\sqrt{91}}{91}\approx 0.104828484$$

Solution Steps

Reduce the fraction \frac{2}{182} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{1}{91}}$$

Rewrite the square root of the division \sqrt{\frac{1}{91}} as the division of square roots \frac{\sqrt{1}}{\sqrt{91}}.

$$\frac{\sqrt{1}}{\sqrt{91}}$$

Calculate the square root of 1 and get 1.

$$\frac{1}{\sqrt{91}}$$

Rationalize the denominator of \frac{1}{\sqrt{91}} by multiplying numerator and denominator by \sqrt{91}.

$$\frac{\sqrt{91}}{\left(\sqrt{91}\right)^{2}}$$

The square of \sqrt{91} is 91.

$$\frac{\sqrt{91}}{91}$$