Solve frac{sqrt{3.6}sqrt{2.4}}{sqrt{0.54}}

$$\frac{ \sqrt{ 3.6 } \sqrt{ 2.4 } }{ \sqrt{ 0.54 } }$$

Evaluate

$$4$$

Solution Steps

To multiply \sqrt{3.6} and \sqrt{2.4}, multiply the numbers under the square root.

$$\frac{\sqrt{8.64}}{\sqrt{0.54}}$$

Rationalize the denominator of \frac{\sqrt{8.64}}{\sqrt{0.54}} by multiplying numerator and denominator by \sqrt{0.54}.

$$\frac{\sqrt{8.64}\sqrt{0.54}}{\left(\sqrt{0.54}\right)^{2}}$$

The square of \sqrt{0.54} is 0.54.

$$\frac{\sqrt{8.64}\sqrt{0.54}}{0.54}$$

To multiply \sqrt{8.64} and \sqrt{0.54}, multiply the numbers under the square root.

$$\frac{\sqrt{4.6656}}{0.54}$$

Calculate the square root of 4.6656 and get 2.16.

$$\frac{2.16}{0.54}$$

Expand \frac{2.16}{0.54} by multiplying both numerator and the denominator by 100.

$$\frac{216}{54}$$

Divide 216 by 54 to get 4.

$$4$$

Factor

$$2^{2}$$