irrational vs rational

irrational and rational both are nouns.

Word	Noun	Adjective	Verb	Adverb
irrational	Yes	Yes	No	No
rational	Yes	Yes	No	No

irrational (noun)	rational (noun)
a real number that cannot be expressed as a rational number	an integer or a fraction

irrational (adjective)	rational (adjective)
not consistent with or using reason	consistent with or based on or using reason
real but not expressible as the quotient of two integers	capable of being expressed as a quotient of integers
	having its source in or being guided by the intellect (as distinguished from experience or emotion)
	of or associated with or requiring the use of the mind