# 50 followers

Algebra Level 4

$\large \dfrac{a}{\sqrt{b+c}}+\dfrac{b}{\sqrt{c+a}}+\dfrac{c}{\sqrt{a+b}}$

Given that $$a,b$$ and $$c$$ are positive reals satisfying $$a+b+c=50$$, find the minimum value of the expression above.