Question 130
Let $a$, $b$, $c$ positive real numbers. Prove that
$$
\sqrt{\frac{3bc}{(a+b)(a+b+c)}} + \sqrt[4]{\frac{12a(a+b)}{(a+b+c)^2}} \le 2.
$$
Find the equality condition.
$$
\sqrt{\frac{3bc}{(a+b)(a+b+c)}} + \sqrt[4]{\frac{12a(a+b)}{(a+b+c)^2}} \le 2.
$$
Find the equality condition.