Question 123
Find all rational numbers $r$ that satisfy the equation
$$
(\sqrt{2+\sqrt{3}})^r + (\sqrt{2-\sqrt{3}})^r = 14.
$$
$$
(\sqrt{2+\sqrt{3}})^r + (\sqrt{2-\sqrt{3}})^r = 14.
$$
MathNet 2026 — Part 05 Question 123
Math Olympiad Vault · MathNet 2026 — Part 05