Solve frac{sqrt{6}+9}{2}+6

$$\frac { \sqrt { 6 } + 9 } { 2 } + 6$$

Evaluate

$$\frac{\sqrt{6}+21}{2}\approx 11.724744871$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{2}{2}.

$$\frac{\sqrt{6}+9}{2}+\frac{6\times 2}{2}$$

Since \frac{\sqrt{6}+9}{2} and \frac{6\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{6}+9+6\times 2}{2}$$

Do the multiplications in \sqrt{6}+9+6\times 2.

$$\frac{\sqrt{6}+9+12}{2}$$

Do the calculations in \sqrt{6}+9+12.

$$\frac{\sqrt{6}+21}{2}$$

Factor

$$\frac{\sqrt{6} + 21}{2} = 11.72474487139159$$