find the smallest positive integer n for which (1+i)^2n =(1-i)^2n

(1+i)^2n =(1-i)^2n

((1+i)/(1-i))^{2n }=1

(2i/2)^{2n }=1 [by taking conjugate]

(-1)^{n}=1

therefore minimum value of n is 2

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find the smallest positive integer n for which (1+i)^2n =(1-i)^2n

(1+i)^2n =(1-i)^2n

((1+i)/(1-i))^{2n }=1

(2i/2)^{2n }=1 [by taking conjugate]

(-1)^{n}=1

therefore minimum value of n is 2

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