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unrationalized

unrationalized

9.0
Not changed to remove a square root from the bottom of a fraction
  • adjective
  • /ˌʌnˈræʃənəˌlaɪzd/
  • Specialized
translation icon : no racionalizado
  • The answer was left with an unrationalized denominator, which is not the standard form.

Examples

  • Her calculation included an unrationalized square root in the denominator.

  • Many students struggle with unrationalized expressions in mathematics.

  • Mathematicians prefer not to leave results in an unrationalized state when possible.

  • The equation remains unrationalized after several attempts to simplify it.

  • The answer was left with an unrationalized denominator, which is not the standard form.

  • Her calculation included an unrationalized square root in the denominator.

  • Mathematicians prefer not to leave results in an unrationalized state when possible.

Surface Forms

unrationalized positive

Morphology

unrationalized = rationalized (semi-transparent) = un + rational + ize + ed

Morphologically transparent as 'un-' + 'rationalized', but the specific mathematical sense of 'rationalize' (e.g., removing irrationals from a denominator) is specialized and may be unfamiliar to average learners.

Etymology

Unrationalized in math comes from rational and the root ratio 'a number written as a fraction', and from the verb rationalize, which means 'to remove square roots from the bottom of a fraction'. So an unrationalized denominator is one 'left with a square root in the bottom'.