Question 112
Show that for any positive real numbers $a$, $b$ and $c$ the following inequality holds:
$$
\sqrt{\frac{a}{b+c}} + \sqrt{\frac{b}{c+a}} + \sqrt{\frac{c}{a+b}} \gt 2.
$$
$$
\sqrt{\frac{a}{b+c}} + \sqrt{\frac{b}{c+a}} + \sqrt{\frac{c}{a+b}} \gt 2.
$$