irrational vs real

real vs irrational

irrational and real both are nouns.

irrational and real both are adjectives.

irrational is not an adverb while real is an adverb.

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

As nouns, real is a hypernym of irrational; that is, real is a word with a broader meaning than irrational:

irrational: a real number that cannot be expressed as a rational number
real: any rational or irrational number

Other hypernyms of irrational include real number.

irrational (noun)	real (noun)
a real number that cannot be expressed as a rational number	any rational or irrational number
	an old small silver Spanish coin
	the basic unit of money in Brazil; equal to 100 centavos

irrational (adjective)	real (adjective)
not consistent with or using reason	being or occurring in fact or actuality; having verified existence; not illusory
real but not expressible as the quotient of two integers	of, relating to, or representing an amount that is corrected for inflation
	no less than what is stated; worthy of the name
	having substance or capable of being treated as fact; not imaginary
	capable of being treated as fact
	not to be taken lightly
	(of property) fixed or immovable
	being or reflecting the essential or genuine character of something
	coinciding with reality

irrational (adverb)	real (adverb)
	used to give emphasis

Difference between irrational and real

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