irrational number
"irrational-number" is a 16-letter English headword indexed on PlainSpell.
The verdict
“irrational number” is uncommon English (outside the top frequency list), classed as a noun. The kind of spelling people second-guess.
- Unranked
- below top-frequency English
- 17
- letters
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - Any real number that cannot be expressed as a ratio of two integers.
Corpus desk
Index EN-irrational-number · irrational number · English
irrational number · unranked · 0 variants · 0 confusables
- FREQ-UNRANKED Unranked
- LEN-MEGA 17 letters
- VOW-7 7 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-THIN "I" thin
- PHOTO-UNK Peer pending
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.
| Property | Value |
|---|---|
| Headword | irrational number |
| Language | English |
| Part of speech | Noun |
| Letters | 17 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “irrational number” in English
Rare enough to double-check
irrational number is uncommon English outside the top frequency list, classed as anoun. Rarity is why readers land here mid-draft. Gloss: "Any real number that cannot be expressed as a ratio of two integers.".
irrational number has no tracked misspelling variants, a sign its spelling follows regular English conventions. This headword has no recorded confusable partner, since its spelling is unusual enough that it doesn't cluster with a lookalike.
Our source data has no etymology on file for this entry, so spelling patterns must be inferred from the word's phoneme-to-grapheme mapping rather than from a documented borrowing chain. The correct English form is irrational number, spelled I-R-R-A-T-I-O-N-A-L- -N-U-M-B-E-R.
Definition
- 1Any real number that cannot be expressed as a ratio of two integers.
Recorded use
Wiktionary exampleThese source excerpts show how irrational number appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.
The square root of a positive integer is an irrational number unless the positive integer is a perfect square, in which case the square root will also be a positive integer.
Antonyms
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.