For #x,y#, and #z# positive real numbers, what is the maximum possible value for \[ \sqrt{\frac{3x+4y}{6x+5y+4z}} + \sqrt{\frac{y+2z}{6x+5y+4z}} + \sqrt{\frac{2z+3x}{6x+5y+4z}}? \]
1 Answer
May 21, 2017
Explanation:
Calling
we have
and also
because if
such that
then