Find all cube roots of -1000i

Shaharyar asked Jun 7, 2023

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Shaharyar asked Jun 7, 2023

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23 votes

Answer:

10i

Explanation:

Since i^2 = -1, and 1000 = 10^3, we can instinctively guess that the answer is 10i. We can validate this by cubing it, yielding 1000i^3, or -1000i.

Dmitry Leiko answered Jun 11, 2023

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