Division (mathematics)
Of complex numbers

Dividing two complex numbers (when the divisor is nonzero) results in another complex number, which is found using the conjugate of the denominator:

This process of multiplying and dividing by r − i s {\displaystyle r-is} is called 'realisation' or (by analogy) rationalisation. All four quantities p, q, r, s are real numbers, and r and s may not both be 0.

Division for complex numbers expressed in polar form is simpler than the definition above:

Again all four quantities p, q, r, s are real numbers, and r may not be 0.
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