Another symmetric inequality

Algebra Level 5

\[\large \sqrt{5x+4}+\sqrt{5y+4}+\sqrt{5z+4}\]

Let \(x,y\) and \(z\) be non-negative reals satisfying \(x+y+z=1\). Find the minimum value of the expression above.

Give your answer to 2 decimal places.


This problem was taken from Hanoi Pedagogic Highschool grade 10 selection test.
×

Problem Loading...

Note Loading...

Set Loading...