If a,b,c are integers, not all simultaneously equal and w is cube root of unity (`w != 1)`, then minimum value of ` |a + bw + c w^2|`

If a,b,c are integers,not all simultaneously equal and w is cube root of unity (w!=1), then minimum value of |a+bw+cw^(2)|

a,b,c are integers,not all simultaneously equal,and omega is cube root of unity (omega!=1) then minimum value of |a+b omega+c omega^(2)| is 0 b.1 c.(sqrt(3))/(2) d.(1)/(2)

If a,b,c are distinct odd integers and omega is non real cube root of unity,then minimum value of |a omega^(2)+b+c omega|, is

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If a,b,c are distinct integers and a cube root of unity then minimum value of x=|a+b omega+c omega^(2)|+|a+b omega^(2)+c omega|

If a,b,c are distinct odd integers and omega is non real cube root of unity, and minimum value of |a omega^(2)+b+c omega| ,is , K sqrt(3) ,then the value of K is