irreducible

/ˌɪɹɪˈdjuːsɪbəl/

//ˌɪɹɪˈdjuːsɪbəl// adj

"irreducible" is a 11-letter English headword indexed on PlainSpell.

The verdict

“irreducible” has 15 generated spelling variants in the English index at frequency #42,213. The variants make it a useful spelling check.

#42,213
frequency rank, English
2,140
“I” headwords
15
tracked misspellings

According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - Not able to be reduced or lessened.

Corpus desk

Index EN-irreducible · irreducible · English

irreducible · rank #42,213 · 15 variants · 0 confusables

  • FREQ-MID #42,213
  • LEN-MEGA 11 letters
  • VOW-5 5 vowels
  • CONFUS-0 No pairs
  • VAR-HIGH 15 variants
  • BOOK-MID 2,140
  • PHOTO-FINISH intruding

Nearest frequency peer: intruding (-1 rank slots)

Read with this headword: Spelling guide for this pattern

Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.

Rank peers near misspelling magnet “irreducible”

Same rarity band: useful when a typo lands on a peer headword

corpus weight

What this shows “irreducible” sits among these FrequencyWords peers; misspelling depth is tracked separately in the edit-distance chart.

Source FrequencyWords open word-frequency list As of September 3, 2026
Key facts for irreducible
PropertyValue
Headwordirreducible
LanguageEnglish
Part of speechAdjective
IPA/ˌɪɹɪˈdjuːsɪbəl/
Letters11
Frequency rank#42,213
Misspellings tracked15
Confusable pairs0
SourceWiktionary (kaikki.org)

Frequency seat of misspelling magnet “irreducible”

Every-word frequency runs from the handful of words we use constantly (left) to the long tail used once in a blue moon (right).irreduciblelands here:

#1#100#1K#10K#100K
← used constantlyrarely used →

Scale is logarithmic (each tick is 10× rarer). Same rarity band neighbours include “intruding” (#42,212), “intracranial” (#42,211), “Jiangsu” (#42,215). Among 2,140 “I” headwords, “irreducible” is #42,213. Source: FrequencyWords open word-frequency list.

A misspelling magnet

The generator records 15 spelling variants around irreducible (IPA /ˌɪɹɪˈdjuːsɪbəl/), anadjective. Corpus frequency is #42,213 among 2,140 “I” headwords. Wiktionary lists 9 senses, so context still picks the gloss.

Our generated misspelling index lists 15 likely wrong-spelling variants for irreducible, with forms such as "ireducible", "irerducible", and "irrdeucible". Each of these forms differs from the correct spelling by one small edit: a doubled letter, a dropped silent letter, or a substituted vowel. It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: From ir- + reducible. The correct English form is irreducible, spelled I-R-R-E-D-U-C-I-B-L-E.

Definition

  1. 1
    Not able to be reduced or lessened.
  2. 2
    Not able to be brought to a simpler or reduced form.
  3. 3
    Unable to be factorized into polynomials of lower degree, as (x² + 1).
  4. 4
    Whose numerator and denominator share no common factor greater than 1.
  5. 5
    Unable to be factored into smaller integers; prime.
  6. 6
    Whose only divisors are units and associates.
  7. 7
    Inexpressible as the union of two proper algebraic subvarieties.
  8. 8
    Not containing a sphere of codimension 1 that is not the boundary of a ball.
  9. 9
    Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Recorded use

Wiktionary example

These source excerpts show how irreducible appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.

  1. With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.

Etymology

From ir- + reducible.

Antonyms

This word in other languages

Common misspellings

Also misspelled as:

  • ireducible
  • irerducible
  • irrdeucible
  • irredcuible
  • irredducible
  • irreducable
  • irreducbile
  • irreduccible
  • irreducibble
  • irreducibel
  • irreduciblle
  • irreducilbe
  • irreduicble
  • irreudcible
  • rireducible

Misspelling Pattern Breakdown

How far each generated variant is from the correct spelling of irreducible - expressed in single-character edits (insert, delete, or swap one letter). Bigger bars stand out at a glance; a one-edit slip is the hardest to catch.

ireducible1irerducible2irrdeucible2irredcuible2irredducible1irreducable1irreducbile2irreduccible1
Edit distance from "irreducible"

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "irreducible"?
"irreducible" is spelled I-R-R-E-D-U-C-I-B-L-E. The IPA pronunciation is /ˌɪɹɪˈdjuːsɪbəl/.
What does "irreducible" mean?
As an adjective, "irreducible" means: Not able to be reduced or lessened.
What are common misspellings of "irreducible"?
Common misspellings include "ireducible", "irerducible", "irrdeucible", "irredcuible", "irredducible". The correct spelling is "irreducible".
How do you pronounce "irreducible"?
The IPA (International Phonetic Alphabet) transcription for "irreducible" is /ˌɪɹɪˈdjuːsɪbəl/. Click the speaker icon on the pronunciation badge above to hear it spoken aloud where audio is available.
What is the origin of the word "irreducible"?
From ir- + reducible. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Similar English words by spelling shape

Same letter count and similar misspelling depth for "irreducible", not the corpus desk frequency band.

Same letter count

Frequency-ranked English headwords with 11 letters (nearest by frequency rank).

Similar misspelling depth

Headwords with a similar count of attested misspellings (15 here; floor ≥5).

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list