Question

Prove that sum of the cube roots of unity is zero.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Hence, 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.