Greece National Olympiad Problem 4

Algebra Level 4

Let \(a,b,c\) be positive real numbers with sum \(6\). Find the maximum value of \(S = \sqrt[3]{{{a^2} + 2bc}} + \sqrt[3]{{{b^2} + 2ca}} + \sqrt[3]{{{c^2} + 2ab}}.\)

This problem is part of this set.

×

Problem Loading...

Note Loading...

Set Loading...