Solve frac{sqrt{0,4}*sqrt{0,9}}{sqrt{0,64}}

$$\frac { \sqrt { 0,4 } \cdot \sqrt { 0,9 } } { \sqrt { 0,64 } }$$

Evaluate

$$0,75$$

Solution Steps

To multiply \sqrt{0,4} and \sqrt{0,9}, multiply the numbers under the square root.

$$\frac{\sqrt{0,36}}{\sqrt{0,64}}$$

Calculate the square root of 0,36 and get 0,6.

$$\frac{0,6}{\sqrt{0,64}}$$

Calculate the square root of 0,64 and get 0,8.

$$\frac{0,6}{0,8}$$

Expand \frac{0,6}{0,8} by multiplying both numerator and the denominator by 10.

$$\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$