Question 5
Prove that
$$
(a+b)(a+c) \ge 2\sqrt{abc(a+b+c)}
$$
for all positive real numbers $a$, $b$ and $c$.
$$
(a+b)(a+c) \ge 2\sqrt{abc(a+b+c)}
$$
for all positive real numbers $a$, $b$ and $c$.
MathNet 2001 — Part 01 Question 5
Math Olympiad Vault · MathNet 2001 — Part 01