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irrational vs algebraic number

algebraic number vs irrational

irrational and algebraic number both are nouns.

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

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

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