A new day had arrived

Algebra Level 4

\[\dfrac{4}{81(ab+bc+ca)}+abc\]

Given that \(a,b\) and \(c\) are positive reals and \(a+b+c=1\).

If the minimum value of the expression above can be expressed as \(\dfrac{m}{n}\) where \(m\) and \(n\) are coprime positive integers, find \(m+n\).

×

Problem Loading...

Note Loading...

Set Loading...