The basis of multiplying complex numbers of the form a + bi is that i squared is defined as negative one. After you distribute or FOIL, you will have integers, terms that still have i, and other terms that are multiplied by i squared (negative one.) If you have a square root of a negative number, write it in terms of i first, and then do the multiplying. Lastly, as a convention, we write our real part first, and the imaginary part second.
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