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MathNet 2026 — Part 01 Question 96

Math Olympiad Vault · MathNet 2026 — Part 01

Question 96

The value of $\left(\sqrt{1+\sqrt{1+\sqrt{1}}}\right)^4$ is:
  1. $\sqrt{2}+\sqrt{3}$
  2. $\frac{1}{2}(7+3 \sqrt{5})$
  3. $1+2 \sqrt{3}$
  4. 3
  5. $3+2 \sqrt{2}$