If `y z+z x+x y=12 ,w h e r ex ,y ,z` are positive values, find the greatest value of `x y zdot`

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

if (30)/(7)=x+(1)/(y+(1)/(z)) where x,y,z are positive integers then value of (x+y+z) equals

If x^(2)+y^(2)+z^(2)=1 , where x,y,z in R^(+) then greatest value of x^(2)y^(3)z^(4) is

Find the least value of the expression E=(x+y)(y+z) where x,y and z are positive real numbers satisfying the equation xyz(x+y+z)=1

If x,y,z be three positive numbers such that xyz^(2) has the greatest value (1)/(64) , then the value of (1)/(x)+(1)/(y)+(1)/(z) is

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z