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irrational vs transcendental number

transcendental number vs irrational

irrational and transcendental number both are nouns.

irrational is an adjective but transcendental number is not an adjective.

Word NounAdjectiveVerbAdverb
irrational Yes Yes No No
transcendental number Yes No No No
As nouns, transcendental number is a hyponym of irrational; that is, transcendental number is a word with a more specific, narrower meaning than irrational:
  • irrational: a real number that cannot be expressed as a rational number
  • transcendental number: an irrational number that is not algebraic
Other hyponyms of irrational include algebraic number.
irrational (noun) transcendental number (noun)
a real number that cannot be expressed as a rational number an irrational number that is not algebraic
irrational (adjective) transcendental number (adjective)
not consistent with or using reason
real but not expressible as the quotient of two integers
Difference between irrational and transcendental number

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