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square root
Image: Wikimedia Commons

square root

Inverse operation of square for finding the original base number; that base number itself

Entitymultivalued function on the complex planemultivalued functionfunctionQ134237

Also known as 2nd root · second root · square root function · second root function · 2nd root function

Instance of
Subclass of

Overview

All data

57 statements · 7% with external sources · numbers in brackets are citations

TeX string
  • \sqrt[2]{x}
Notation
Defining formula
  • \sqrt{x} = y \implies y^2 = x
Definition domain
Image of function
Different from
Depicted by
Approximation algorithm
Opposite of
Codomain
Studied by
Unicode character
  • √ statement is subject of: √
Power series expansion
  • \sqrt{1 + x} = \sum_{n=0}^\infty \frac{(-1)^n(2n)!}{(1-2n)(n!)^2(4^n)}x^n = 1 + \frac{1}{2}x - \frac{1}{8}x^2 + \frac{1}{16} x^3 - \frac{5}{128} x^4 + \cdots
Facet of

On other databases

26 identifiers linking square root across the web's reference databases