A real number not expressible as the quotient of two integers.

A number that cannot be represented as a decimal or as a fraction. A number like pi is irrational because it contains an infinite number of digits that keep repeating, many square roots are irrational numbers.

Not capable of being expressed exactly as the ratio of two integers.

not logical or rational. Without reason or logic.

not consistent with or using reason; "irrational fears"; "irrational animals"

real but not expressible as the quotient of two integers; "irrational numbers"

not endowed with reason or understanding.

adj. Originally a quantity which cannot be expressed as the ratio of two integers. This so incensed the ancient Pythagoreans that they expanded the meaning of the word to include things that defied common sense. Thanks to the Ancient Greeks, its use in Jerkcity was practically assured.

1. behaving in an inexplicable or insane manner. 2. an irrational number is one which can not be expressed exactly by a ratio of two integers, such as pi or the square root of two. An irrational number, when expressed as a decimal, has an infinite number of decimal places which never repeat. Contrast rational.