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QuestionMathematics

Find all of the cube roots of 216i and write the answers in rectangular (standard) form.
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Step 1
I'll solve this step-by-step, carefully following the LaTeX formatting guidelines:

Step 2
: Understand the Problem

We need to find the three cube roots of $$216i$$.
This means finding three complex numbers z such that z^{3} = 216i.

Final Answer

1. 3\sqrt{3} + 3i 2. - 3\sqrt{3} - 3i 3. 3\sqrt{3} - 3i

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