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Square root

In mathematics, a square root of a number x is a number y such that y 2 = x {\displaystyle y^{2}=x} ; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y {\displaystyle y\cdot y} ) is x. For example, 4 and −4 are square roots of 16 because 4 2 = ( − 4 ) 2 = 16 {\displaystyle 4^{2}=(-4)^{2}=16} .

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Overview

History

Properties and uses

Square roots of positive integers

Computation

Square roots of negative and complex numbers

Nth roots and polynomial roots

Square roots of matrices and operators

In integral domains, including fields

In rings in general

Geometric construction of the square root

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Map overview Semantic statistics

Square root

Nodes168
Edges167
Triples86
Avg. degree1.99
Density0.011905
Components1

How this topic connects Entity context

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Square root

Top relations

related to Geometric construction of the square root · 10
Square root → BC, But, Elements, Euclid, Euclidean, In, Proposition II, Proposition VI, Since, The
related to Computation · 7
Square root → Computer, Most, Newton's, Pocket, Square, Therefore, When
related to history · 7
Square root → BC, Berlin Papyrus, Egyptians, Kahun Papyrus, The Rhind Mathematical Papyrus, The Yale Babylonian Collection, YBC
related to Principal square root of a complex number · 7
Square root → Cartesian, If, In, It, Taylor, The, To
related to As periodic continued fractions · 6
Square root → In, Joseph Louis Lagrange, Lagrange, That, The, Written
related to External links · 6
Square root → Algorithms, Featured Column, Galileo, Galileo's Arithmetic, Paul Hsieh's, Tony Philips
related to Square roots of negative and complex numbers · 6
Square root → By, However, The, Therefore, This, Using
related to As expansions in other numeral systems · 5
Square root → As, In, SHA-1, SHA-2, The
related to In integral domains, including fields · 5
Square root → Because, Each, If, In, The
related to In rings in general · 5
Square root → Another, For, Here, In, Unlike

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Important terminology

square root displaystyle roots sqrt number numbers positive principal two real function integers quadratic using used one negative method complex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Square rootis ashifting nth root algorithm0.90text
Hilbert spacesinstance ofas well as in generalizations0.80text
Square rootrelated to Algebraic formulaWhen0.60section
Square rootrelated to As decimal expansionsThe0.60section
Square rootrelated to As decimal expansionsIn0.60section
Square rootrelated to As decimal expansionsDecimal0.60section
Square rootrelated to As expansions in other numeral systemsAs0.60section
Square rootrelated to As expansions in other numeral systemsIn0.60section
Square rootrelated to As expansions in other numeral systemsThe0.60section
Square rootrelated to As expansions in other numeral systemsSHA-10.60section
Square rootrelated to As expansions in other numeral systemsSHA-20.60section
Square rootrelated to As periodic continued fractionsJoseph Louis Lagrange0.60section

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