## Square root |

In **square root** of a number *a* is a number *y* such that *y*^{2} = *a*; in other words, a number *y* whose * square* (the result of multiplying the number by itself, or

Every *a* has two square roots: √*a*, which is positive, and −√*a*, which is negative. Together, these two roots are denoted as ±√*a* (see *the* square root" is often used to refer to the *principal square root*. For positive *a*, the principal square root can also be written in *a*^{1/2}.^{[2]}

Square roots of negative numbers can be discussed within the framework of

- history
- properties and uses
- computation
- square roots of negative and complex numbers
- square roots of matrices and operators
- in integral domains, including fields
- in rings in general
- principal square roots of the positive integers
- geometric construction of the square root
- see also
- notes
- references
- external links

The ^{[3]} (1;24,51,10) base 60 corresponds to 1.41421296 which is a correct value to 5 decimal points (1.41421356...).

The ^{[4]}

In * Sulba Sutras*, dated around 800–500 BC (possibly much earlier).

It was known to the ancient Greeks that square roots of *m/n*, where *m* and *n* are integers). This is the theorem *Euclid X, 9*^{[6]}
The particular case ^{[citation needed]} It is exactly the length of the

In the Chinese mathematical work * Writings on Reckoning*, written between 202 BC and 186 BC during the early

A symbol for square roots, written as an elaborate R, was invented by * Ars Magna*.

According to historian of mathematics

According to Jeffrey A. Oaks, Arabs used the letter * jīm/ĝīm* (ج), the first letter of the word “جذر” (variously transliterated as

The symbol '√' for the square root was first used in print in 1525 in *Coss*.^{[10]}

Other Languages

Afrikaans: Vierkantswortel

العربية: جذر تربيعي

asturianu: Raíz cuadrada

azərbaycanca: Kvadrat kökləri

বাংলা: বর্গমূল

Bân-lâm-gú: Pêng-hong-kin

башҡортса: Квадрат тамыр

беларуская: Квадратны корань

беларуская (тарашкевіца): Квадратны корань

български: Квадратен корен

bosanski: Kvadratni korijen

brezhoneg: Gwrizienn garrez

català: Arrel quadrada

čeština: Druhá odmocnina

Cymraeg: Ail isradd

dansk: Kvadratrod

Deutsch: Quadratwurzel

eesti: Ruutjuur

Ελληνικά: Τετραγωνική ρίζα

español: Raíz cuadrada

Esperanto: Kvadrata radiko

euskara: Erro karratu

فارسی: ریشه دوم

føroyskt: Kvadratrót

français: Racine carrée

furlan: Lidrîs cuadrade

galego: Raíz cadrada

贛語: 平方根

ગુજરાતી: વર્ગમૂળ

한국어: 제곱근

हिन्दी: वर्गमूल

Bahasa Indonesia: Akar kuadrat

íslenska: Ferningsrót

italiano: Radice quadrata

עברית: שורש ריבועי

ქართული: კვადრატული ფესვი

қазақша: Квадраттық түбір

Кыргызча: Арифметикалык квадрат тамыр

Latina: Radix quadrata

latviešu: Kvadrātsakne

lietuvių: Kvadratinė šaknis

Lingua Franca Nova: Radis cuadral

lumbaart: Radis quadrada

magyar: Négyzetgyök

മലയാളം: വർഗ്ഗമൂലം

मराठी: वर्गमूळ

Bahasa Melayu: Punca kuasa dua

Nederlands: Vierkantswortel

नेपाली: वर्गमूल

नेपाल भाषा: वर्गमूल

日本語: 平方根

norsk: Kvadratrot

norsk nynorsk: Kvadratrot

occitan: Raiç carrada

ਪੰਜਾਬੀ: ਵਰਗ ਮੂਲ

Patois: Skwier ruut

polski: Pierwiastek kwadratowy

português: Raiz quadrada

română: Rădăcină pătrată

русский: Квадратный корень

Scots: Squerr ruit

sicilianu: Radici quatrata

Simple English: Square root

slovenščina: Kvadratni koren

کوردی: ڕەگی دووجا

српски / srpski: Квадратни корен

srpskohrvatski / српскохрватски: Kvadratni koren

Basa Sunda: Akar kuadrat

suomi: Neliöjuuri

svenska: Kvadratrot

Tagalog: Ugat ng kwadrado

தமிழ்: வர்க்கமூலம்

తెలుగు: వర్గమూలం

Türkçe: Karekök

українська: Квадратний корінь

Tiếng Việt: Căn bậc hai

吴语: 平方根

ייִדיש: קוואדראט ווארצל

Yorùbá: Gbòngbò alágbáraméjì

粵語: 開方根

中文: 平方根