Balancing An ABC Expression

Algebra Level 4

\[\large \dfrac{a}{\sqrt{a+bc}}+\dfrac{b}{\sqrt{b+ac}}+\dfrac{c}{\sqrt{c+ab}}\]

Let \(a,b\) and \(c\) be positive reals satisfying \(a+b+c=1\). Find the maximum value of the expression above.


Source: My school selection MO for grade 10.
×

Problem Loading...

Note Loading...

Set Loading...