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If $1, α_{1}, α_{2}, ......, α_{n - 1}$ are the $n^{t h}$ roots of unity and n is an even natural number, then $(1 + α_{1}) (1 + α_{2}) (1 + α_{3}) ...... (1 + α_{n - 1}) =$

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Detailed Solution

PUT n=4, then $\pm 1, \pm i$ be 4^th roots of unity $(1 + 1) (1 - 1) (1 + i) (1 - i) = 0$

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