A value of n such that `((sqrt3)/(2)+(i)/(2))^(n)=1` is

A value of n such that ((sqrt(3))/(2)+(i)/(2))^(n)=1 is (A) 12 (B) 3 (C) 2 (D) 1

The least positive value of n forwhich [(i(i+sqrt(3)))/(1-i^(2))]^(n) is a positive integer is

The least value of n satisfying [sqrt3/2+i/2]^(n)=1 is

I: The modulus of (sqrt3 + i)/((1 + i) (1 + sqrt3i)) is (1)/(sqrt2) II : The least positive value of n for which ((1 - i)/(1 + i))^(n)= 1 is 2 Which of the statements are true

What is the value of ((1=-+isqrt3)/(2))^(3n)+((-1+isqrt3)/(2))^(3n) where i=sqrt(-1) ?

Show that ((-1+sqrt(3)i)/(2))^(n)+((-1-sqrt(3i))/(2))^(n) is equal to 2 when n is a multiple of 3 and 3 is equal to -1 when n is any other positive integer.

The least positive integeral value of n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n) , is

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

the value of ((-1+sqrt(3)i)/(2))^(3n)+((-1-sqrt(3)i)/(2))^(3n)=