Compute $(1+\alpha^4)(1+\alpha^3)(1+\alpha^2)(1+\alpha)$ where $\alpha$ is the complex 5th root of unity with the smallest positive principal argument

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score 316 · Answer 8 · 2026-03-25 01:40:06

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Express $z = \dfrac{3i}{\sqrt{2-i}} +1$ in the form $a + bi$, where $a, b \in\Bbb R$.

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score 1k · Answer 13 · 2018-08-15 18:07:00

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score 388 · Answer 14 · 2018-08-16 04:50:22

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