The term irrational basically means that which is unreasonable or is not logical. This word is an adjective, and its used to describe things that are not consistent with reason. Irrational is a synonym to surd and incoherent.

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what does irrational mean

ir·ra·tion·al

[ih-rash-uh-nl]

ADJECTIVE

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.

Algebra. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.

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Irrational means without reason and clarity or incoherent as a result of a shock. Irrational also refers to numbers which cannot be expressed as a fraction, for example the square root of 2. Others words that you can use for irrational include foolish, silly, unreasonable, irrational number and mindless. You can find more information here: http://www.thefreedictionary.com/irrational

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In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers are those real numbers that cannot be represented as terminating...