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If 1,m 1 ,m 2 ,m 3 ,m 4 ,.....m n-1 are the n th roots of unity and n is odd natural number,then how can we prove that (1+m 1 )(1+m 2 )(1+m 3 )....(1+m n-1 )=1.

If 1,m1,m2,m3,m4,.....mn-1 are the nth roots of unity and n is odd natural number,then
how can we prove that 
 (1+m1)(1+m2)(1+m3)....(1+mn-1)=1.

Grade:12

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
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