Question 162
Determine the maximum value of constant $\lambda$ such that
$$
u + v + w \ge \lambda,$$
where $u, v$ and $w$ are positive real numbers with $u\sqrt{vw} + v\sqrt{wu} + w\sqrt{uv} \ge 1$.
$$
u + v + w \ge \lambda,$$
where $u, v$ and $w$ are positive real numbers with $u\sqrt{vw} + v\sqrt{wu} + w\sqrt{uv} \ge 1$.