Question
Find the sum of the 5th roots of unity.
Answer :
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The 5th roots of unity are the complex numbers that satisfy the equation \(z^5 = 1\). These roots can be expressed as: \[ z_k = e^{2 \pi i k / 5}, \quad k = 0, 1, 2, 3, 4 \] The sum of the 5th roots
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