# This'll be hard

Algebra Level 5

$\large \dfrac{a}{b}+\dfrac{b}{c}+\dfrac{c}{a}+\dfrac{28(ab+bc+ac)}{(a+b+c)^2}$ Let $$a,b$$ and $$c$$ be positive reals, find the minimum value of the expression above.

Note: You don't have to try $$a=b=c$$, because it's not the answer.

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