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An irrational number is a subset of the set of real numbers. So a rational number is an number which can be expresses as a ratio (fraction) of a/b where a is any integer, and b is any nonzero integer. Note that integers are real numbers. So Irrational Numbers are all real numbers which are not rational numbers.

Note that all of the numbers so far are real numbers. Now for imaginary numbers. Look at the KhanAcademy video or MathsIsFun.

Take a number -1 and try to square root. Note that (-1) times (-1) equals positive 1. So we created a number i, which when squared equals -1. This is the imaginary unit number. Now you can take any real number, and multiply that by i to get any imaginary number.

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Q: What is a difference between an imaginary and an irrational number?
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