The product of the distinct $(2 n)$ th roots of $1+i \sqrt{3}$ is equal to :

The product of the distinct $(2 n)$ th roots of $1+i \sqrt{3}$ is equal to :
  1. 0
  2. $-1-i \sqrt{3}$
  3. $1+i \sqrt{3}$
  4. $-1+i \sqrt{3}$

Solution

Product of the distinct $(2 n)^{\text {th }}$ roots of $1+i \sqrt{3}$ $=-1-i \sqrt{3}$

Asked in: AP EAMCET 2006

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