Solve 18/sqrt{39}

$$\frac { 18 } { \sqrt { 39 } }$$

Evaluate

$$\frac{6\sqrt{39}}{13}\approx 2.882306768$$

Solution Steps

Rationalize the denominator of \frac{18}{\sqrt{39}} by multiplying numerator and denominator by \sqrt{39}.

$$\frac{18\sqrt{39}}{\left(\sqrt{39}\right)^{2}}$$

The square of \sqrt{39} is 39.

$$\frac{18\sqrt{39}}{39}$$

Divide 18\sqrt{39} by 39 to get \frac{6}{13}\sqrt{39}.

$$\frac{6}{13}\sqrt{39}$$