unrationalized
- adjective
- /ˌʌnˈræʃənəˌlaɪzd/
- Specialized
- The answer was left with an unrationalized denominator, which is not the standard form.
Examples
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Her calculation included an unrationalized square root in the denominator.
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Many students struggle with unrationalized expressions in mathematics.
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Mathematicians prefer not to leave results in an unrationalized state when possible.
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The equation remains unrationalized after several attempts to simplify it.
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The answer was left with an unrationalized denominator, which is not the standard form.
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Her calculation included an unrationalized square root in the denominator.
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Mathematicians prefer not to leave results in an unrationalized state when possible.
Surface Forms
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'.