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MathNet 2006 — Part 04 Question 41

Math Olympiad Vault · MathNet 2006 — Part 04

Question 41

How much is $\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}$ worth?


(A) $\sqrt[3]{9-4 \sqrt{5}}$

(B) 1

(C) $\frac{3}{2}$

(D) $\sqrt[3]{4}$

(E) $2 \sqrt[3]{2}$.