nonrational vs irrational

nonrational is not a noun while irrational is a noun.

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

nonrational (noun)	irrational (noun)
	a real number that cannot be expressed as a rational number

nonrational (adjective)	irrational (adjective)
obtained through intuition rather than from reasoning or observation	not consistent with or using reason
not based on reason	real but not expressible as the quotient of two integers