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The least positive integer n such that (...

The least positive integer n such that `((2i)/(1 + i))^(n)` is a positive integer is

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To find n such that, `((2i)/(1+i))^n` is positive Rationalizing `((2i)/(1+i) * (1-i)/(1-i))^n` `rArr (((2i)(1-i))/(1-i^2))^n` `rArr (((2i)(1-i))/(1-(-1)))^n` `rArr (((2i)(1-i))/(2))^n` `rArr(i-i^2)^n` ...
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