The product of all three cube roots of unity is ?
- 1
- 0
- ω
- 0
Explanation
The cube roots of unity are:
1, ω, and ω², where:
- ω = -1/2 + (√3/2)i
- ω² = -1/2 - (√3/2)i
These are the complex cube roots of unity, and they satisfy:
1 + ω + ω² = 0
and
1 × ω × ω² = 1
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