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Rational: Any number that can be expressed as a fraction (or a ratio.) Irrational: Not rational, any number that can't be written down as a fraction. Some examples include [tex] \pi (3.1415926...)[/tex], [tex] \sqrt{2} [/tex], and so on.
Anything rational can be expressed in a form other than a symbol. However, irrational numbers are those that go on forever and never stops, such as [tex] \pi [/tex] or phi
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