Irrational

/ɪˈræʃənəl/

adjectivemedium📊CommonCognition
2 meanings3 questions

Definitions

2 meanings
1

Not logical or reasonable; lacking the power of reason; contrary to reason.

/ɪˈræʃənəl/

adjectivenegativemedium
Cognition

Lacking reason or understanding

It was irrational to think that he could win the race without training.

💡 Simply: When someone's acting irrational, it's like they're not making sense or not thinking things through clearly. Think of a kid throwing a tantrum for no good reason, or someone making a decision without considering the consequences—that's irrational behavior!

👶 For kids: When something is irrational, it doesn't make any sense and it's not fair.

More Examples

2

Her fear of heights was an irrational phobia.

3

The stock market's response was irrational and unpredictable.

How It's Used

Psychology

"Irrational fears can significantly impact a person's daily life."

Economics

"The market's irrational exuberance led to a speculative bubble."

2

(Mathematics) (of a number or quantity) not expressible as a ratio of two integers.

/ɪˈræʃənəl/

adjectiveneutralAdvanced
Mathematics

Not governed by or according to reason.

Pi (π) is a classic example of an irrational number.

💡 Simply: In math, an irrational number is like a number that goes on forever without repeating, like the square root of 2, or pi. You can't write it down exactly as a fraction. It's a bit like a mystery!

👶 For kids: In math, some numbers are like forever-going numbers that can’t be cut into equal pieces.

More Examples

2

The square root of 3 is an irrational number.

3

The set of irrational numbers is denoted by the symbol 'I'.

How It's Used

Mathematics

"The square root of 2 is an irrational number."

Tip:Remember numbers that can't be fully expressed as a fraction like pi - they are *irrational*.

Synonyms & Antonyms

From Latin *irrationalis*, from *in-* (not) + *rationalis* (rational). It first appeared in English in the late 16th century.

The term gained prominence in philosophical and mathematical discussions in the 17th and 18th centuries.

Memory tip

Imagine an *ir*responsible person acting without a plan, exhibiting *rational* thought.

Word Origin

LanguageLatin
Original meaning

"not rational; unreasonable"

irrational behaviorirrational fearirrational numberirrational exuberanceirrational thought

Common misspellings

irratinalirrationalyirrationl

Usage

40%Spoken
60%Written