If x=a+b,y=aomega+bomega^(2),z=aomega^(2...

If `x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega`then show that `xyz=a^(3)+b^(3) "where " omega` is a complex cube root of 1 . Find square root of - 2i.

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The correct Answer is:

Therefore , the required square roots are `+-(1-i)` .

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