Question 54
Find all pairs $(a, b)$ of positive rational numbers such that
$$
\sqrt{a} + \sqrt{b} = \sqrt{2 + \sqrt{3}}.
$$
$$
\sqrt{a} + \sqrt{b} = \sqrt{2 + \sqrt{3}}.
$$
MathNet 2002 — Part 01 Question 54
Math Olympiad Vault · MathNet 2002 — Part 01