If `(xy)^(a)=z,(yz)^(a)=x` and `(xz)^(a)=y` then what is the value of `a` ?

If x = 2+ sqrt3, y = 2- sqrt3 and z = 1, then what is the value of (x//yz) + (y//xz) + (z//xy) + 2[(1//x)+ (1//y) + (1//z)] ?

If (xy)/(x+y)=a,(xz)/(x+z)=b and (yz)/(y+z)=c where a,b,c are other than zero,find the value of x

If x^(2)+xy+xz=135,y^(2)+yz+xy-135,y^(2)+yz+xy=351 and z^(2)+zx+zy=243 Then the value of x is,(x,y,z>0)

If x, y and z are real numbers and x+y+z =7 and xy+yz+xz=10 , then what will be greatest value of x?