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SMO 2024 Senior Round 1 Question 3

SMO · SMO 2024 Senior Round 1

Question 3

Simplify $\dfrac{2024}{\sqrt{4+\sqrt{12}}}+\dfrac{2024}{\sqrt{4-\sqrt{12}}}$.
  1. 1012
  2. $1012\sqrt3$
  3. 2024
  4. $2024\sqrt3$
  5. $1012+1012\sqrt3$