irrational number noun
: a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers
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irrational number noun (Concise Encyclopedia)
Among the real numbers, any of those that cannot be represented as quotients of integers. In decimal form, irrational numbers are represented by nonterminating, nonrepeating decimals. Examples include square roots of prime numbers and such transcendental numbers as and e.
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