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write in answer form a+bi

simplify write answer in form a+bi, where a and b are real numbers


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1 Answer

An answer in the form of a + bi is known as a complex number where a and b are real numbers and i is an imaginary number equivalent to the square root of negative 1 (-1). Although the general form of a complex number is a + bi it can appear as a + bi or a - bi. There are 4 imaginary numbers that you should learn and memorize,  these numbers are as follows:
i = square root of -1
i^2 = -1
i^3 = -i
i^4 = 1
all powers of i after this are just repeats of the first 4 powers of i.
An example of a number in a + bi form would be 3 + 2i which would have been derived from a complex number 3 + √(-4). Hope this is helpful.