Solve frac{sqrt{1,2}}{sqrt{7,5}}

$$\frac { \sqrt { 1,2 } } { \sqrt { 7,5 } }$$

Evaluate

$$0,4$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{1,2}}{\sqrt{7,5}} by multiplying numerator and denominator by \sqrt{7,5}.

$$\frac{\sqrt{1,2}\sqrt{7,5}}{\left(\sqrt{7,5}\right)^{2}}$$

The square of \sqrt{7,5} is 7,5.

$$\frac{\sqrt{1,2}\sqrt{7,5}}{7,5}$$

To multiply \sqrt{1,2} and \sqrt{7,5}, multiply the numbers under the square root.

$$\frac{\sqrt{9}}{7,5}$$

Calculate the square root of 9 and get 3.

$$\frac{3}{7,5}$$

Expand \frac{3}{7,5} by multiplying both numerator and the denominator by 10.

$$\frac{30}{75}$$

Reduce the fraction \frac{30}{75} to lowest terms by extracting and canceling out 15.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$