Solve 24/2sqrt{13}

$$\frac{ 24 }{ 2 \sqrt{ 13 } }$$

Evaluate

$$\frac{12\sqrt{13}}{13}\approx 3.328201177$$

Solution Steps

Rationalize the denominator of \frac{24}{2\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$\frac{24\sqrt{13}}{2\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$\frac{24\sqrt{13}}{2\times 13}$$

Cancel out 2 in both numerator and denominator.

$$\frac{12\sqrt{13}}{13}$$