Solve 4/sqrt{6}

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

Evaluate

$$\frac{2\sqrt{6}}{3}\approx 1.632993162$$

Solution Steps

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

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

The square of \sqrt{6} is 6.

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

Divide 4\sqrt{6} by 6 to get \frac{2}{3}\sqrt{6}.

$$\frac{2}{3}\sqrt{6}$$