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

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

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purly imaginary with positive imaginary part.

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

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

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

Write the least positive intergal value of n when ((1+i)/(1-i))^(2n) =1 .

The smallest positive integral value of n for which (1+sqrt(3)i)^((pi)/(2)) is real is

The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1, is