Solve sqrt{32/58}

$$\sqrt { \frac { 32 } { 58 } }$$

Evaluate

$$\frac{4\sqrt{29}}{29}\approx 0.742781353$$

Solution Steps

Reduce the fraction \frac{32}{58} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{16}{29}}$$

Rewrite the square root of the division \sqrt{\frac{16}{29}} as the division of square roots \frac{\sqrt{16}}{\sqrt{29}}.

$$\frac{\sqrt{16}}{\sqrt{29}}$$

Calculate the square root of 16 and get 4.

$$\frac{4}{\sqrt{29}}$$

Rationalize the denominator of \frac{4}{\sqrt{29}} by multiplying numerator and denominator by \sqrt{29}.

$$\frac{4\sqrt{29}}{\left(\sqrt{29}\right)^{2}}$$

The square of \sqrt{29} is 29.

$$\frac{4\sqrt{29}}{29}$$