Solve frac{4sqrt{6}}{sqrt{65}}=

$$\frac{ 4 \sqrt{ 6 } }{ \sqrt{ 65 } } =$$

Evaluate

$$\frac{4\sqrt{390}}{65}\approx 1.215287241$$

Solution Steps

Rationalize the denominator of \frac{4\sqrt{6}}{\sqrt{65}} by multiplying numerator and denominator by \sqrt{65}.

$$\frac{4\sqrt{6}\sqrt{65}}{\left(\sqrt{65}\right)^{2}}$$

The square of \sqrt{65} is 65.

$$\frac{4\sqrt{6}\sqrt{65}}{65}$$

To multiply \sqrt{6} and \sqrt{65}, multiply the numbers under the square root.

$$\frac{4\sqrt{390}}{65}$$