irrational vs nonreal

irrational

noun
  • A real number that can not be expressed as the quotient of two integers, an irrational number. 

adj
  • Not rational; unfounded or nonsensical. 

  • Of a real number, that cannot be written as the ratio of two integers. 

nonreal

noun
  • A nonreal number. 

adj
  • Not real; unreal, imaginary. 

  • Not real; not of the real numbers. 

How often have the words irrational and nonreal occurred in a corpus of books? (source: Google Ngram Viewer )