If `(sqrt3+i)/(2)=(a+i)/(a-i) and a` is a real number, then a is

If (sqrt(3)+i)/(2)=(a+i)/(a-i) and a is a real number, then a is

Prove that (3+i)/(1+2i)+(3-i)/(1-2i) is a real number.

Prove that (3+i)/(1+2i)+(3-i)/(1-2i) is a real number.

If i=sqrt(-1), and ((7+5i))/((-2-6i))=a+bi , where a and b are real numbers, then what is the value of |a+b| ?

If the expression (2-i)/(2 +i) is written as the complex number a + bi, where a and b are real numbers, then what is the value of a ? (Note: i = sqrt-1)

Show that (-1+sqrt3 i)^3 is a real number

Show that (-1+sqrt(-3i))^3 is a real number

(Show that (-1+sqrt(3)i)^(3) is a real number

Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbers then y-x equals

Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbers then y-x equals