Solve -8/13/frac{sqrt{103}}{13}

$$- \frac { 8 } { 13 } / \frac { \sqrt { 103 } } { 13 }$$

Evaluate

$$-\frac{8\sqrt{103}}{103}\approx -0.788263423$$

Solution Steps

Divide -\frac{8}{13} by \frac{\sqrt{103}}{13} by multiplying -\frac{8}{13} by the reciprocal of \frac{\sqrt{103}}{13}.

$$\frac{-8\times 13}{13\sqrt{103}}$$

Cancel out 13 in both numerator and denominator.

$$\frac{-8}{\sqrt{103}}$$

Rationalize the denominator of \frac{-8}{\sqrt{103}} by multiplying numerator and denominator by \sqrt{103}.

$$\frac{-8\sqrt{103}}{\left(\sqrt{103}\right)^{2}}$$

The square of \sqrt{103} is 103.

$$\frac{-8\sqrt{103}}{103}$$