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Rationalizing Meaning: Definition, Examples, and Translations

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rationalizing

[ˈræʃənəlaɪzɪŋ ]

Definition

Context #1 | Verb

mathematics, reasoning

Rationalizing refers to the process of eliminating irrational numbers from the denominator of a fraction. This is often done by multiplying both the numerator and the denominator by a suitable value, such as the conjugate of the denominator. The goal is to simplify the expression into a form that is easier to work with.

Synonyms

clarifying, explaining, justifying.

Examples of usage

  • Rationalizing the denominator helped simplify the calculation.
  • In math class, we focused on rationalizing fractions.
  • He was given exercises on rationalizing square roots.

Translations

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Origin of 'rationalizing'

The term 'rationalize' derives from the Latin word 'rationalis', which means 'of or belonging to reason'. It first entered the English language in the early 19th century. The mathematical sense of the word relates to the process of making something rational or reasonable, particularly in the context of simplifying numerical expressions and eliminating irrational numbers. Over time, the term has also taken on a broader meaning in philosophical and psychological contexts, where it refers to the act of justifying or explaining one's behavior or beliefs in a seemingly logical manner. The evolution of 'rationalizing' showcases its dual role in both mathematical theory and everyday reasoning.

Word Frequency Rank

At rank #25,549, this word represents specialized academic or technical vocabulary. It's less frequently encountered but may be valuable in specific contexts.