Solve frac{sqrt{2.7}}{sqrt{0.3}}

$$\frac{ \sqrt{ 2.7 } }{ \sqrt{ 0.3 } }$$

Evaluate

$$3$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{2.7}}{\sqrt{0.3}} by multiplying numerator and denominator by \sqrt{0.3}.

$$\frac{\sqrt{2.7}\sqrt{0.3}}{\left(\sqrt{0.3}\right)^{2}}$$

The square of \sqrt{0.3} is 0.3.

$$\frac{\sqrt{2.7}\sqrt{0.3}}{0.3}$$

To multiply \sqrt{2.7} and \sqrt{0.3}, multiply the numbers under the square root.

$$\frac{\sqrt{0.81}}{0.3}$$

Calculate the square root of 0.81 and get 0.9.

$$\frac{0.9}{0.3}$$

Expand \frac{0.9}{0.3} by multiplying both numerator and the denominator by 10.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$