$(1 + i)^{n}$ find min +ve integer n such that it represents (i) an integer
(ii) a +ve integer

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(1 + i)^{n}

find min +ve integer n such that it represents (i) an integer
(ii) a +ve integer

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Text solutionVerified

(1 + i)^{n} = {(1 + i)^{2}}^{\frac{n}{2}} = (2 i)^{\frac{n}{2}}

(i)

(\frac{n}{2})_{min} = 2 \Rightarrow n = 4

(ii)

(\frac{n}{2})_{min} = 4 \Rightarrow n = 8

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Question Text	$(1 + i)^{n}$ find min +ve integer n such that it represents (i) an integer (ii) a +ve integer
Answer Type	Text solution:1
Upvotes	150