Mudzi wenhamba

Muchidzidzo masvomhu, mudzi wechi n we nhamba iri kumurirwa na x (nth root of a number), inhamba inomirirwa na r, yokuti kana yaradanurwa padanho n, zvinoenzana na x. Hukama uhwu hunonyorwa sezvizvi,

$r^n = x,$

apa n anenge ari munongedzo remudzi wacho. Mudzi wepiri unenge une munongedzo wa 2, mudzi wechitatu unenge une munongedzo wa 3, mudzi wemakumi maviri unenge une munongedzo wa 20, zvichingodaro.

Somuenzaniso:

• 2 mudzi wepiri wa 4, nokuti 2² = 4.
• −2 mudzi wepiri wa 4, nokuti (−2)² = 4.

• 9 mudzi wepiri wa 81, nokuti 9² = 81.
• −9 mudzi wepiri wa 81, nokuti (−9)² = 81.

Mudzi wenhamba unowanza kunyorwa kuchishandiswa chiratidzo $\sqrt{\,\,}$ kana $\surd{}$, kana $\sqrt{x}\!\,$ kana $\surd x$ kureva mudzi wepiri.

Apa $\sqrt[3]{x}\!\,$ anoshandiswa kumiria mudzi wetatu, $\sqrt[4]{x}$ anomirira mudzi wechina, zvichingodaro. Pakupangidza $\sqrt[n]{x}$, n anonzi munongedzo - index kuEnglish. Apa n anotiudza kana kunongedza kuti parikutsvagwa mudzi wenhamba wechingani.