CGMO 2004 Problem 5

Let $u, v, w$ be positive real numbers such that $u\sqrt {vw} + v\sqrt {wu} + w\sqrt {uv} \geq 1$ . Find the smallest value of $u + v + w$ .

Dataset text AoPS wiki problems. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.