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SMO 2026 Junior Round 1 Question 4

SMO · SMO 2026 Junior Round 1

Question 4

Let $a=\sqrt{102}+\sqrt{98}$, $b=\sqrt{101}+\sqrt{99}$ and $c=20$. Which of the following is true?
  1. $a>b>c$
  2. $a>c>b$
  3. $b>c>a$
  4. $c>a>b$
  5. $c>b>a$