What is the minimal value of $\sqrt{2x+1}+\sqrt{3y+1}+\sqrt{4z+1}$, if $x$, $y$ and $z$ are nonnegative real numbers such that $x+y+z=4$
Problem
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009
Tags: algebra, inequalities
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009
Tags: algebra, inequalities
What is the minimal value of $\sqrt{2x+1}+\sqrt{3y+1}+\sqrt{4z+1}$, if $x$, $y$ and $z$ are nonnegative real numbers such that $x+y+z=4$
