Phrase guide

principal root

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • The square roots of 4 are 2 and −2; the principal square root of 4 is 2.
  • The 3rd roots of −8 are 1 + i√3, −2 and 1 − i√3; the principal 3rd root of −8 is 1 + i√3 and the real root is −2.
  • The 4th roots of 16 are 2, −2, 2i and −2i; the principal 4th root of 16 is 2.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

3 source translations are retained for this English entry.

  • Chinese Mandarin: 主根 (zhǔgēn) — number
  • Finnish: juuren pääarvo — number
  • Latvian: aritmētiskā sakne — number