Math, asked by simran137, 1 year ago

find the least positive value of n of 1+i by 1-i whole power n equal to 1

Answers

Answered by AdityaMSR
7
Multiply and divide numerator by (1+i), we get [(1+i)²/(1-i)(1+i)]ⁿ   
                      = [(1-1+2i)/(1²+1²)]ⁿ = (i)ⁿ
So, we have (i)ⁿ = 1. The least positive value is n = 4



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