irrational vs nonrational

irrational is a noun but nonrational is not a noun.

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

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

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