√2/2 + √2/2
You asked:
Evaluate the expression: \(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}\)
MathBot Answer:
\[\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = \sqrt{2} \approx 1.4142135623730950488016887242097\]
\[\begin{aligned}\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}& = \sqrt{2} \cdot \frac{1}{2} + \sqrt{2} \cdot \frac{1}{2}\\& = \frac{1}{2} \cdot \sqrt{2} + \sqrt{2} \cdot \frac{1}{2}\\& = \frac{1}{2} \cdot \sqrt{2} + \frac{1}{2} \cdot \sqrt{2}\\& = \sqrt{2}\end{aligned}\]