Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer completely.)

Question

_{(3-√-2) (1+√-1)}

Answer 1

(3-sqr(-2))(1+sqr(-1)) =

(3 -isqr2)(1+isqr1) =

(3-isqr2)(1+i) = (use FOIL)

3 - isqr2 + 3i +sqr2 =

3+sqr2 + (3-sqr2)i =

about

4.14142 + 1.5859i

a + bi where a= 3+sqr2 = about 4.4142 and b= 3-sqr2 = about 1.5859