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−  An '''irrational number''' is a [[real number]] that cannot be expressed as the ratio of two [[integers]].
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−  Irrational numbers often arise as solutions to problems involving rational numbers. For example, the square root of 2 is irrational. Other irrationals, such as [[pi]], serve as fundamental constants in many mathematical problems.
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−  Irrational numbers can never be expressed exactly using decimal notation with a finite number of digits. Instead it is common to write them using only enough significant digits to solve the problem at hand, followed by an ellipsis (…):
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−  :<math>\pi\ = 3.1415926...</math>
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−  ==See also==
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−  [[Transcendental numbers]]
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−  [[Category:mathematics]]
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