irrational number vs irrational

irrational number and irrational both are nouns.

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

As nouns, irrational number and irrational are synonyms defined as:

irrational number and irrational: a real number that cannot be expressed as a rational number

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

irrational number (adjective)	irrational (adjective)
	not consistent with or using reason
	real but not expressible as the quotient of two integers