How do you divide this: 4/(7 + 2i)? 4 -------- 7 + 2i 4 (7 - 2i) -------------------- {multiplied top and bottom by "conjugate" of denominator} (7 + 2i)(7 - 2i) 28 - 8i ----------- {used distributive property on top, foil method on bottom} 49 - 4i^2 28 - 8i ------------ {i^2 is -1, when dealing with imaginary numbers} 49 - 4(-1) 28 - 8i ----------- {multiplied -4 by -1} 49 + 4 28 - 8i ---------- {added 49 and 4 on bottom} 53 - Algebra House
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