Solve 6/sqrt{39}

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

Evaluate

$$\frac{2\sqrt{39}}{13}\approx 0.960768923$$

Solution Steps

Rationalize the denominator of \frac{6}{\sqrt{39}} by multiplying numerator and denominator by \sqrt{39}.

$$\frac{6\sqrt{39}}{\left(\sqrt{39}\right)^{2}}$$

The square of \sqrt{39} is 39.

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

Divide 6\sqrt{39} by 39 to get \frac{2}{13}\sqrt{39}.

$$\frac{2}{13}\sqrt{39}$$