Our goal in simplifying fractions, or quotients with complex numbers is to re-write the quotient with no imaginary terms in the denominator. We can do this by multiplying both the top and bottom by the complex conjugate of the denominator (this is just multiplying by one, so we're not changing the value of the quotient.) Recall that the conjugate of a + bi is a - bi . You will most likely end with an imaginary term in the numerator, but that is a more proper form than an imaginary term in the denominator.
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