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ryzh [129]
3 years ago
5

Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The above expression can be simplified as follow:

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Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

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Thus,

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Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

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