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

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

The least positive integer n such that \(\left(\frac{2 \mathrm{i}}{1+\mathrm{i}}\right)^{\mathrm{n}}\)is a positive integer, is
  1. 16
  2. 8
  3. 4
  4. 2

Answer

(B) 8

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