<PRE><B>Question 294777</B>
(3 + 3i ) divided by (5 + 4i )

(3 + 3i)/(5 + 4i)
complex number z in form a + bi
conjugate of complex number z is a - bi
i^2 = -1
multiply top and bottom by the conjugate of 5 + 4i which is 5 - 4i

numerator: (3 + 3i)(5 - 4i) use FOIL
           15 - 12i + 15i - 12i^2
           15 + 12 + 3i
           27 + 3i
denominator: (5 + 4i)(5 - 4i) use FOIL
           25 - 20i + 20i - 16i^2
           25 + 16
           41

answer: (27/41) + (3/41)i
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