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revert, this is good stuff but not that important to include here. Should be explained in the square root article if anywhere |
m de-italicizing numbers in conformance with Manual of style (mathematics) |
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where ''a'' and ''b'' are [[real number]]s, and ''i'' is the [[imaginary unit]], with the property ''i'' <sup>2</sup> = −1. The real number ''a'' is called the ''[[real part]]'' of the complex number, and the real number ''b'' is the ''[[imaginary part]]''. When the imaginary part ''b'' is 0, the complex number is just the real number ''a''.
For example, 3 + 2''i'' is a ''complex number'', with real part
Complex numbers can be added, subtracted, multiplied, and divided like real numbers, but they have additional elegant properties. For example, real numbers alone do not provide a solution for every [[polynomial]] algebraic equation with real coefficients, while complex numbers do (the [[fundamental theorem of algebra]]).
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