Question

.Prove that sum of cube roots of unity is zero and their product is 1.​

Answer 1

Answer:

the three cube roots of unity are −1+i√32, −1−i√32, and 1. Hence, we proved that the sum of the cube roots of unity is zero. Note: You can also use the sum of roots of the cubic equation ax3+bx2+cx+d=0 which is ba to get the sum of the cube roots of unity.