Solve 24/2sqrt{6}

$$\frac{ 24 }{ 2 \sqrt{ 6 } }$$

Evaluate

$$2\sqrt{6}\approx 4.898979486$$

Solution Steps

Rationalize the denominator of \frac{24}{2\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$\frac{24\sqrt{6}}{2\left(\sqrt{6}\right)^{2}}$$

The square of \sqrt{6} is 6.

$$\frac{24\sqrt{6}}{2\times 6}$$

Cancel out 2\times 6 in both numerator and denominator.

$$2\sqrt{6}$$