Irrational

-adverb

1. without the faculty of reason; deprived of reason.
2. without or deprived of normal mental clarity or sound judgment.
3. not in accordance with reason; utterly illogical: irrational arguments.
4. not endowed with the faculty of reason: irrational animals.
5. Mathematics.
     a. (of a number) not capable of being expressed exactly as a ratio of two integers.
     b. (of a function) not capable of being expressed exactly as a ratio of two polynomials.
6. Algebra. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.
7. Greek and Latin Prosody.
     a. of or pertaining to a substitution in the normal metrical pattern, esp. a long syllable for a short one.
     b. noting a foot or meter containing such a substitution.

-noun

8. Mathematics. irrational number.

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