Math Problem Solver

$$\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = \sqrt{2} \approx 1.4142135623730950488016887242097$$

$$\begin{aligned}\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}&=\sqrt{2} \cdot \frac{1}{2} + \sqrt{2} \cdot \frac{1}{2}\\&=\frac{1}{2} \cdot \sqrt{2} + \sqrt{2} \cdot \frac{1}{2}\\&=\frac{1}{2} \cdot \sqrt{2} + \frac{1}{2} \cdot \sqrt{2}\\&=\sqrt{2}\end{aligned}$$