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Algebraic Operations with Complex Numbers

Let two complex numbers be z1 = a + ib and z2 = c + id.
 
Addition: (a + ib) + (c + id) = (a + c) + i(b + d)
 
Subtraction: (a + ib) – (c + id) = (ac) + i(bd)
 
Multiplication: (a + ib) (c + id) = (acbd) + i(ad + bc)
 
Division: (where at least one of c and d is non-zero)
60084.png (Rationalization)
60078.png




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