Question 38
Prove: The inequality holds for the positive real numbers $a$, $b$, $c$
$$
\frac{a}{\sqrt{(a+b)(a+c)}} + \frac{b}{\sqrt{(b+a)(b+c)}} + \frac{c}{\sqrt{(c+a)(c+b)}} \leq \frac{3}{2}.
$$
$$
\frac{a}{\sqrt{(a+b)(a+c)}} + \frac{b}{\sqrt{(b+a)(b+c)}} + \frac{c}{\sqrt{(c+a)(c+b)}} \leq \frac{3}{2}.
$$