Tushar Chandra Educator since 2010 12,621 answers | Certified Educator Page Citation Share Link We have the fraction 2i/(1 + i) Making the denominator a real number 2i/(1 + i) => 2i( 1 - i)/(1 + i)(1 - i) => (2i - 2i^2) / 1 - i^2 => (2i + 2)/ ( 1 + 1) => 1 + i Therefore we get (1 + i) Approved by eNotes Editorial Team