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Dividing imaginary numbers6/24/2023 Finding the quotient of two complex numbers is more complex (haha). Calculation for multiplication and division. Dividing a complex number by a real number is simple. When multiplying and dividing complex numbers we must take care to understand that the product and quotient rules for radicals require that both \(a\) and \(b\) are positive. Division of two complex numbers is more complicated than addition, subtraction, and multiplication because we cannot divide by an imaginary number, meaning that any fraction must have a real-number denominator. Putting together our information about products and reciprocals, we can find formulas for the quotient of one complex number divided by another. Expanding puts the result of the division in cartesian form again. The complex number is of the form a bi, where a and b are the real numbers and i is the imaginary unit.
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