Solve -3/4/sqrt{15/4}

$$\frac { - \frac { 3 } { 4 } } { \frac { \sqrt { 15 } } { 4 } }$$

Evaluate

$$-\frac{\sqrt{15}}{5}\approx -0.774596669$$

Solution Steps

Divide -\frac{3}{4} by \frac{\sqrt{15}}{4} by multiplying -\frac{3}{4} by the reciprocal of \frac{\sqrt{15}}{4}.

$$\frac{-3\times 4}{4\sqrt{15}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{-3}{\sqrt{15}}$$

Rationalize the denominator of \frac{-3}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$\frac{-3\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

The square of \sqrt{15} is 15.

$$\frac{-3\sqrt{15}}{15}$$

Divide -3\sqrt{15} by 15 to get -\frac{1}{5}\sqrt{15}.

$$-\frac{1}{5}\sqrt{15}$$