Solve frac{sqrt{2}}{2}+4/2

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

Evaluate

$$\frac{\sqrt{2}}{2}+2\approx 2.707106781$$

Short Solution Steps

Divide 4 by 2 to get 2.

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

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

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

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

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

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

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

Factor

$$\frac{\sqrt{2} + 4}{2} = 2.7071067811865475$$