`((1+isqrt3)/(1-isqrt3))^n` is an integer, then `n` is

If [frac{1+isqrt3}{1-isqrt3}]^n is a integer, then n is

(sqrt3+i)/(-1-isqrt3)=?

(1+isqrt3)^(9)=

If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then |z| is

If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(z)=pi/4 b. arg(z)=pi/2 c. |z|=1/2 d. |z|=2

If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(z)=pi/4 b. arg(z)=pi/2 c. |z|=1/2 d. |z|=2

If n is positive integer and (1+isqrt3)^n+(1-isqrt3)^n=2^(n+1) cos theta , then the value of theta is

I: If a and b are positive real numbers then sqrt(-a) xx sqrt(-b) = -sqrt(ab) II : The Arg [(1 + isqrt3)/(1 - isqrt3)] is 240^(@) Which of the statements are true

Find the value of: ((1 + isqrt(3)) / (1 - isqrt(3)))^6 + ((1 - isqrt(3)) / (1 + isqrt(3)))^6 using De Moivre's Theorem