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Find the value of 1/(√2 + 1) + 1/(√3 + √2) + 1/(√4 + √3).

Competition practiceAlgebra
  • A1
  • B2
  • C3
  • D2 − √2

Step-by-Step Solution

Each term rationalises to √(n + 1) − √n, so the sum telescopes to √4 − √1 = 2 − 1 = 1.
Answer: A) 1

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