Question 89
$$
\sqrt{1-a} + \sqrt{1-b} + \sqrt{1-c} \le \sqrt{2}(\sqrt{ab+bc+ca} + 2\sqrt{a^2+b^2+c^2}).
$$
for non-negative $a, b, c$ with $a + b + c = 1$.
\sqrt{1-a} + \sqrt{1-b} + \sqrt{1-c} \le \sqrt{2}(\sqrt{ab+bc+ca} + 2\sqrt{a^2+b^2+c^2}).
$$
for non-negative $a, b, c$ with $a + b + c = 1$.