Question 3
Let $x, y, z$ be positive real such that $x+y+z=3$. Find the maximum value reached by $$
\sqrt{x}+\sqrt{2 y+2}+\sqrt{3 z+6}
$$ For what values of $x, y, z$ is said maximum reached?
\sqrt{x}+\sqrt{2 y+2}+\sqrt{3 z+6}
$$ For what values of $x, y, z$ is said maximum reached?