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Nth root

In mathematics, an nth root of a number x is the number r which, when multiplied by itself n times, yields x: r n = r × r × ⋯ × r ⏟ n factors = x . {\displaystyle r^{n}=\underbrace {r\times r\times \dotsb \times r} _{n{\text{ factors}}}=x.} The positive integer n is called the index or degree, and the number x of which the root is taken is the radicand.…

History & Measurement

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Overview

History

Definition and notation

Square roots

Identities and properties

Simplified form of a radical expression

Infinite series

Computing principal roots

Complex roots

Polynomial roots

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Nth root

Nodes128
Edges127
Triples50
Avg. degree1.98
Density0.015625
Components1

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Nth root

Top relations

related to history · 27
Nth root → AD, Al-Khwarizmi, Alexandria, An, Arabic, BC, BCE, Cremona, Cuneiform, Cyrene, Fibonacci, Gerard, Heron, In, Irrational, Larsa, Latin, Newton's, Plato, Pythagorean Hippasus
related to Polynomial roots · 8
Nth root → Algebraic, An, Cubic, During, Gerolamo Cardano, Italian, Quartic, The
related to Identities and properties · 2
Nth root → Expressing, If
related to Logarithmic calculation · 2
Nth root → Starting, The
related to nth roots · 2
Nth root → Every, These
related to Using Newton's method · 2
Nth root → Newton's, The
is a · 1
Nth root → root extraction.The nth root of x is written as x n
related to Complex roots · 1
Nth root → Every
related to Definition and notation · 1
Nth root → An
related to Roots of unity · 1
Nth root → The

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Important terminology

root displaystyle nth number roots sqrt complex square real example positive numbers principal polynomial frac using called radical cube two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Nth rootis aroot extraction.The nth root of x is written as x n0.90text
the square root of 2 on clay tabletsinstance ofdemonstrated numerical approximations of irrational quantities0.80text
with an accuracy analogous to six decimal placesinstance ofdemonstrated numerical approximations of irrational quantities0.80text
as in the tablet YBC 7289instance ofdemonstrated numerical approximations of irrational quantities0.80text
Nth rootrelated to Complex rootsEvery0.60section
Nth rootrelated to Definition and notationAn0.60section
Nth rootrelated to historyThe Babylonians0.60section
Nth rootrelated to historyBCE0.60section
Nth rootrelated to historyYBC0.60section
Nth rootrelated to historyCuneiform0.60section
Nth rootrelated to historyLarsa0.60section
Nth rootrelated to historyThe0.60section

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