\(\left( {2 + \sqrt 2 } \right) + \frac{1}{{2 + \sqrt 2 }} + \frac{1}{{\sqrt 2 - 2}}\) simplifies to

1
\(1 - \sqrt 2 \)
2
\(2 + \sqrt 2 \)
3
2
4
\(2\sqrt 2 \)

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