4+ $\sqrt{2}$ - 3+ $\sqrt{2}$

asked by guest
on Sep 23, 2024 at 6:29 am



You asked:

Evaluate the expression: \(4 + \sqrt{2} - 3 + \sqrt{2}\)

MathBot Answer:

\[4 + \sqrt{2} - 3 + \sqrt{2} = 1 + 2 \sqrt{2} \approx 3.8284271247461900976033774484194\]


\[\begin{aligned}4 + \sqrt{2} - 3 + \sqrt{2}& = \left(4 + \sqrt{2}\right) - 3 + \sqrt{2}\\& = \left(1 + \sqrt{2}\right) + \sqrt{2}\\& = 1 + 2 \cdot \sqrt{2}\end{aligned}\]