Determine if i/(1+i) + i/ (1-i) is real or imaginary. Solution i/(1+i)+i/(1-i) We multiply the Numerator and denominators by the the denominator\'s conjugates. (a+bi abd a- bi are conjugates). Then the given expresion becomes: i(1-i)/(1+i)(1-i)+ i(1+i)/(1-i)(1+i) =( i-i^2 )/2 + (i+i^2)/2 =( i+1 +i -1)/2 =2i/2 = i. Therefore the given expression i/(1+i)+i/(1-i)= i which is imaginary..