For a non-zero positive numbers `x,y` and `z` ,the minimum value of `(x+y+z)((1)/(x)+(1)/(y)+(1)/(z))` is

If x,y,z are positive real numbers and x+y+z=1, then minimum value of ((4)/(x)+(9)/(y)+(16)/(z)) is

If x,yand z are positive real numbers,then the minimum value of (x)/(y)+(y)/(z)+(z)/(x) is:

If x, y, z are non-negative real numbers satisfying x+y+z=1 , then the minimum value of ((1)/(x)+1)((1)/(y)+1)((1)/(z)+1) , is

If x>0,y>0,z>0 and x+y+z=1 then the minimum value of (x)/(2-x)+(y)/(2-y)+(z)/(2-z) is

If x,y,z are positive the minimum value of (x(1+y)+y(1+2)+z(1+x))/(sqrt(xy)z) is

If x,y,z are positive real number, such that x+y+z=1 , if the minimum value of (1+1/x)(1+1/y)(1+1/z) is K^(2) , then |K| is ……….