Rationalizing: meaning, definitions and examples
๐
rationalizing
[ หrรฆสษnษlaษชzษชล ]
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
Translations of the word "rationalizing" in other languages:
๐ต๐น racionalizaรงรฃo
๐ฎ๐ณ เคฏเฅเคเฅเคคเคฟเคเคฐเคฃ
๐ฉ๐ช Rationalisierung
๐ฎ๐ฉ rasionalisasi
๐บ๐ฆ ัะฐััะพะฝะฐะปัะทะฐััั
๐ต๐ฑ racjonalizacja
๐ฏ๐ต ๅ็ๅ
๐ซ๐ท rationalisation
๐ช๐ธ racionalizaciรณn
๐น๐ท rasyonalizasyon
๐ฐ๐ท ํฉ๋ฆฌํ
๐ธ๐ฆ ุชุญููู ู ูุทูู
๐จ๐ฟ racionalizace
๐ธ๐ฐ racionalizรกcia
๐จ๐ณ ๅ็ๅ
๐ธ๐ฎ racionalizacija
๐ฎ๐ธ rationalisering
๐ฐ๐ฟ ัะฐัะธะพะฝะฐะปะธะทะฐัะธั
๐ฌ๐ช แ แแชแแแแแแแแแชแแ
๐ฆ๐ฟ rasyonalizasiya
๐ฒ๐ฝ racionalizaciรณn
Etymology
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.
- ...
- 25546 evacuating
- 25547 reclined
- 25548 whack
- 25549 rationalizing
- 25550 truancy
- 25551 conceptualizing
- 25552 squashed
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