rationalize

/'ræʃnəlaiz/
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rationalize

A student uses algebra to rationalize the denominator of a fraction.

Definition
  1. Verb (transitive):

    • To make something more logical, efficient, or based on reason: To reorganize a process, system, or structure to eliminate waste or inefficiency, often using scientific or logical principles.
    • To justify one's behavior or attitudes with logical-sounding reasons, even if these are not the true motives: To attempt to explain or defend actions, feelings, or beliefs with plausible reasons, often to oneself, to make them seem reasonable or acceptable.
    • To eliminate irrational elements from a mathematical expression: To remove radicals (like square roots) from the denominator of a fraction.
  2. Verb (intransitive):

    • To think or argue in a logical, reason-based manner: To employ rational thinking.
Usage and Examples
  • Transitive Verb (Reorganize for efficiency):

    • The company needed to rationalize its supply chain to reduce costs.
    • They rationalized the manufacturing process, which increased output by 20%.
  • Transitive Verb (Justify with plausible reasons):

    • He tried to rationalize eating the whole cake by saying he needed the energy.
    • She rationalized her impulsive purchase as an investment in her happiness.
  • Transitive Verb (Mathematics):

    • To solve the equation, you must first rationalize the denominator.
    • The expression √2/2 is already rationalized.
  • Intransitive Verb (Think rationally):

    • Instead of panicking, we need to stop and rationalize.
    • When faced with complex problems, it's important to rationalize carefully.
Advanced Usage
  • Psychological Defense Mechanism: In psychology, "to rationalize" specifically refers to a defense mechanism where controversial behaviors or feelings are justified logically to avoid the true explanation.
    • After forgetting the anniversary, he rationalized his mistake by claiming he was focused on an important work project.
Variants and Related Words
  • Rationalization (noun): The process or result of rationalizing.

    • The rationalization of the industry led to many job losses.
    • His explanation was a weak rationalization for his rude behavior.
  • Rational (adjective): Based on or in accordance with reason or logic.

    • It was a rational decision based on the available data.
Synonyms
  • Justify: To show or prove to be right or reasonable.
  • Reorganize: To change the way in which something is organized or done.
  • Explain away: To minimize the significance of something by explanation.
  • Streamline: To make (an organization or system) more efficient and effective by employing faster or simpler working methods.
Phrasal Verbs / Common Constructions
  • Rationalize away: To dismiss or minimize something through rationalization.
    • He tried to rationalize away his feelings of guilt.
Related Idioms
  • No idiom is directly and exclusively formed with the verb "rationalize." However, the concept is central to phrases like:
    • "A rationalization after the fact": An explanation invented to justify an action after it has occurred.
rationalize

A student uses algebra to rationalize the denominator of a fraction.

Verb
  1. remove irrational quantities from
    • This function can be rationalized
  2. think rationally; employ logic or reason
    • When one wonders why one is doing certain things, one should rationalize
  3. structure and run according to rational or scientific principles in order to achieve desired results
    • We rationalized the factory's production and raised profits
  4. weed out unwanted or unnecessary things
    • We had to lose weight, so we cut the sugar from our diet
  5. defend, explain, clear away, or make excuses for by reasoning
    • rationalize the child's seemingly crazy behavior
    • he rationalized his lack of success