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Question: Answered & Verified by Expert
The product of the distinct $(2 n)$ th roots of $1+i \sqrt{3}$ is equal to :
MathematicsComplex NumberTS EAMCETTS EAMCET 2006
Options:
  • A 0
  • B $-1-i \sqrt{3}$
  • C $1+i \sqrt{3}$
  • D $-1+i \sqrt{3}$
Solution:
2232 Upvotes Verified Answer
The correct answer is: $-1-i \sqrt{3}$
Product of the distinct $(2 n)^{\text {th }}$ roots of $1+i \sqrt{3}$ $=-1-i \sqrt{3}$

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