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

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

Evaluate

$$\frac{\sqrt{6}}{2}+2\approx 3.224744871$$

Short Solution Steps

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

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

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

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

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

$$\frac{4+\sqrt{6}}{2}$$

Factor

$$\frac{\sqrt{6} + 4}{2} = 3.224744871391589$$