Complex numbers
The imaginary unit i is defined so that i^2 = -1, which lets you take the square root of a negative number, and a complex number combines a real and an imaginary part, like a + bi. You can add, subtract, and multiply complex numbers the same way you would any expression with two terms, just remembering to replace i^2 with -1 wherever it appears: for example, (2 + 3i) + (1 - i) = 3 + 2i.
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