Question

What is the sum of cube roots of unity

Answer 1

Since ω = 1, hence, ω = ω , where m is the least non-negative remainder obtained by dividing n by 3. Property V: The sum of the three cube roots of unity is zero i.e., 1 + ω + ω = 0. Or, 1 + ω + ω = 1 - + √ 3 2 i - - √ 3 2 i = 0.