Max and min part 2
Algebra
Level
5
\[\large x+y+z+xy+yz+xz\]
If \(x,y\) and \(z\) are non-negative reals that satisfy \(x^2+y^2+z^2=1\), find the sum of the maximum and minimum values of the expression above.
Submit your answer to 2 decimal places.
by
Gurīdo Cuong