# Another symmetric inequality

Algebra Level 4

$\large \sqrt{5x+4}+\sqrt{5y+4}+\sqrt{5z+4}$

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.
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