OBM 2001 Problem 1

Show that for any $a,b,c$ positive reals,

$(a+b)(a+c) \geq 2 \sqrt{abc(a+b+c)}$

Dataset text AI-MO AoPS. 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.