Solve frac{sqrt{2}}{2}+3=

$$\frac { \sqrt { 2 } } { 2 } + 3 =$$

Evaluate

$$\frac{\sqrt{2}}{2}+3\approx 3.707106781$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.

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

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

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

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

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

Factor

$$\frac{\sqrt{2} + 6}{2} = 3.7071067811865475$$