The smallest positive integral value of n for which `(1+sqrt3i)^(n/2)` is real is

The smallest positive integral value of n for which ((1-i)/(1+i))^(n) is purely imaginary with positive imaginary part is

The least positive integral value of n for which ((1+i)/(1-i))^(n) is real :

The smallest positive integer n for which (1+i sqrt(3))^(n / 2) is real is

The least positive integral value of n for which ((1-i)/(1+i))^(2n) = 1 is

Select and write the correct answer from the given alternatives in each of the following: The smallest positive integral value of n for which ((1 - i) / (1 + i))^n is purely imaginary with positive imaginary part is

Find the smallest positive integer value of n for which ((1+i)^n)/((1-i)^(n-2)) is a real number.

Write the least positive integral value of n for which ((1+i)/(1-i))^(n) is real.

Write the least positive integral value of n for which ((1+i)/(1-i))^n is real.