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AMO 2025 Junior College (Grade 11–12) Question 8

AMO · AMO 2025 Junior College (Grade 11–12)

Question 8

Evaluate $\sum_{k=1}^{2024}\frac1{\sqrt{k}+\sqrt{k+1}}$.

Question illustration
  1. $2026$
  2. $2025$
  3. $45$
  4. $44$