Let a^2=16/44 and b^2=(2+sqrt5)^2/11, where a is a negative real number and b is a positive real number. If (a+b)^3 can be expressed in the simplified form [x*sqrt(y)]/z where x, y, and z are positive integers, what is the value of the sum x+y+z?
Let a^2=16/44 and b^2=(2+sqrt5)^2/11, where a is a negative real number and b is a positive real number. If (a+b)^3 can be expressed in the simplified form [x*sqrt(y)]/z where x, y, and z are positive integers, what is the value of the sum x+y+z?