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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 9

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 9

Evaluate the infinite nested radical $\sqrt{10+3\sqrt{10+3\sqrt{10+\cdots}}}$.
  1. -2
  2. 3
  3. 4
  4. 5