`" If "x,y,z in R^(+)" such that "x+y+z=4" ,then maximum possible value of "xyz^(2)" is - "`

If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6 , then the maximum possible value of z is

If 4x+3y+12z=26, x, y, z, in R , then minimum possible value of x^(2)+y^(2)+z^(2) is __________

If (x^(y))^z =2^(8) then find the maximum possible value of (x)(y)(z) where x,y,z gt 0

Given that x,y,z are positive reals such that xyz=32 . The minimum value of x^2+4xy+4y^2+2z^2 is ___________.

If x,y and z are positive real numbers such that x=(12-yz)/(y+z) the maximum value of xyz=

If a,y and z are real numbers such that x^(2)+y^(2)+2z^(2)=4x-2z+2yz-5, then the possible value of (x-y-z) is :

If x+y+z=3 and x,y,z in R , the maximum value of ((x+y)(y+z)(z+x))/(8) is: