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

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

Evaluate

$$\frac{\sqrt{2}}{2}+9\approx 9.707106781$$

Short Solution Steps

Calculate 3 to the power of 2 and get 9.

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

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

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

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

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

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

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

Factor

$$\frac{\sqrt{2} + 18}{2} = 9.707106781186548$$