What Is The Maximum?
Algebra
Level
5
If \(x, y, z \) are real numbers such that \( x + y + z = 3 \), what is the maximum value of
\[ \sqrt{ 2x+13} + \sqrt[3]{3y+5} + \sqrt[4]{8z+12}? \]
This question was posed in SMO 2012. I came across it and it was interesting.
by
Calvin Lin