Solve sqrt{2/1.2}

$$\sqrt{ \frac{ 2 }{ 1.2 } }$$

Evaluate

$$\frac{\sqrt{15}}{3}\approx 1.290994449$$

Solution Steps

Expand \frac{2}{1.2} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{20}{12}}$$

Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{5}{3}}$$

Rewrite the square root of the division \sqrt{\frac{5}{3}} as the division of square roots \frac{\sqrt{5}}{\sqrt{3}}.

$$\frac{\sqrt{5}}{\sqrt{3}}$$

Rationalize the denominator of \frac{\sqrt{5}}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{\sqrt{5}\sqrt{3}}{3}$$

To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.

$$\frac{\sqrt{15}}{3}$$