Question

if 1, w , (w^2) are cube roots of unity, show that(2-w)(2-w^2)(2-w^19)(2-w^23)=49

Answer 1

Answer: Aug 7, 2018 - Explanation: Since, w∈C,w=3√1, we have, w3−1=0 . ∴(w−1)(w2+w+1)=0,or,w2+w=−1......(⋆) . The Expression={(2−w)(2−w2)}{(2−w10)(2−w11)} , ... =(7){4−2(13)(−1)+1} ,. =(7)(7) ,. =49 , as desred! P dilip_k. Aug 8, 2018.

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