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MathNet 2024-part-05 — 168 problems (EN–VI) Question 34

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 34

Determine which of the following is larger:
$$
\sqrt{2 + \sqrt[3]{5}} \quad \text{or} \quad \sqrt[3]{5 + \sqrt{2}}
$$
Fully explain your reasoning.