Question 187
Let $a$, $b$, $c \gt 0$. Show that
$$
\sqrt{\frac{a}{b+c}} + \sqrt{\frac{b}{c+a}} + \sqrt{\frac{c}{a+b}} \gt 2.
$$
$$
\sqrt{\frac{a}{b+c}} + \sqrt{\frac{b}{c+a}} + \sqrt{\frac{c}{a+b}} \gt 2.
$$
MathNet 2015-part-02 — 191 problems (EN–VI) Question 187
Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)