Solve frac{3+sqrt{29}}{2}+9

$$\frac { 3 + \sqrt { 29 } } { 2 } + 9$$

Evaluate

$$\frac{\sqrt{29}+21}{2}\approx 13.192582404$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{2}{2}.

$$\frac{3+\sqrt{29}}{2}+\frac{9\times 2}{2}$$

Since \frac{3+\sqrt{29}}{2} and \frac{9\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+\sqrt{29}+9\times 2}{2}$$

Do the multiplications in 3+\sqrt{29}+9\times 2.

$$\frac{3+\sqrt{29}+18}{2}$$

Do the calculations in 3+\sqrt{29}+18.

$$\frac{21+\sqrt{29}}{2}$$

Factor

$$\frac{\sqrt{29} + 21}{2} = 13.192582403567252$$