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1958 AMC 12 Question 5

AMC12 · 1958 AMC 12

Question 5

The expression $2+\sqrt2+\dfrac1{2+\sqrt2}+\dfrac1{\sqrt2-2}$ equals:
  1. $2$
  2. $2-\sqrt2$
  3. $2+\sqrt2$
  4. $2\sqrt2$
  5. $\dfrac{\sqrt2}{2}$