Solve sqrt{2/52}

$$\sqrt{ \frac{ 2 }{ 52 } }$$

Evaluate

$$\frac{\sqrt{26}}{26}\approx 0.196116135$$

Solution Steps

Reduce the fraction \frac{2}{52} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{1}{26}}$$

Rewrite the square root of the division \sqrt{\frac{1}{26}} as the division of square roots \frac{\sqrt{1}}{\sqrt{26}}.

$$\frac{\sqrt{1}}{\sqrt{26}}$$

Calculate the square root of 1 and get 1.

$$\frac{1}{\sqrt{26}}$$

Rationalize the denominator of \frac{1}{\sqrt{26}} by multiplying numerator and denominator by \sqrt{26}.

$$\frac{\sqrt{26}}{\left(\sqrt{26}\right)^{2}}$$

The square of \sqrt{26} is 26.

$$\frac{\sqrt{26}}{26}$$