Solve 9+13-16/2sqrt{13}

$$\frac { 9 + 13 - 16 } { 2 \sqrt { 13 } }$$

Evaluate

$$\frac{3\sqrt{13}}{13}\approx 0.832050294$$

Solution Steps

Add 9 and 13 to get 22.

$$\frac{22-16}{2\sqrt{13}}$$

Subtract 16 from 22 to get 6.

$$\frac{6}{2\sqrt{13}}$$

Rationalize the denominator of \frac{6}{2\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$\frac{6\sqrt{13}}{2\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$\frac{6\sqrt{13}}{2\times 13}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\sqrt{13}}{13}$$