3+2√2 - 3+√2
You asked:
Evaluate the expression: \(3 + 2 \sqrt{2} - 3 + \sqrt{2}\)
MathBot Answer:
\[3 + 2 \sqrt{2} - 3 + \sqrt{2} = 3 \sqrt{2} \approx 4.24264068711928514640506617262909\]
\[\begin{aligned}3 + 2 \sqrt{2} - 3 + \sqrt{2}& = 3 + 2 \cdot \sqrt{2} - 3 + \sqrt{2}\\& = \left(3 + 2 \cdot \sqrt{2}\right) - 3 + \sqrt{2}\\& = 2 \cdot \sqrt{2} + \sqrt{2}\\& = 3 \cdot \sqrt{2}\end{aligned}\]