Given that `x,y,z` are positive real numbers such that `xyz=32`, the minimum value of `sqrt((x+2y)^(2)+2z^(2)-15)` is equal to

Given that x,y,z are positive real such that xyz=32. If the minimum value of x^(2)+4xy+4y^(2)+2z^(2) is equal m, then the value of m/16 is.

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

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

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

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

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

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

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