Q62 / 160 · AP EAMCET 2006 · Mathematics

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

A
0
Correct answer
B
$-1-i \sqrt{3}$
C
$1+i \sqrt{3}$
D
$-1+i \sqrt{3}$

Solution

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

Hence, the correct answer is option: 'B'.

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