Heron's method

Heron's method of calculating a square root

Facts

8 properties
Part of
theory of sequences in ordered bodies, theory of real square numbers, theory of mathematical algorithms[7][8][9]
Computes solution to
square root[10]
Defining formula
x_{n+1} = \frac{1}{2} \left(x_n + \frac{a}{x_n}\right)[11]
In defining formula
x_n, a, +, \frac{1}{2}[13][14][15][16]
Maintained by WikiProject
WikiProject Mathematics[12]
🏷️ Also known as
en Heron's method en Methods of computing square roots en Babylonian method ar طرق حوسبه الجذور التربيعيه ar طرق حساب الجذر التربيعي ar طرق حوسبة الجذور التربيعية da Herons metode de babylonisches Wurzelziehen de Das Heron-Verfahren‎ de Heron-Verfahren es Metodos para solucionar la raíz cuadrada es Métodos para solucionar la raiz cuadrada es Métodos para solucionar la raíz cuadrada es Resolver la raiz cuadrada es Resolver la raíz cuadrada es Solucionar la raiz cuadrada es Solucionar la raíz cuadrada es Métodos para resolver la raiz cuadrada es Calculo de la raiz cuadrada es Calculo de la raíz cuadrada
🔖 Identifiers · 5
Google Knowledge Graph ID
/g/122g3m4z
ProofWiki ID
Hero's_Method
Topic's main category
Category:Heron's method
Vikidia article ID
fr:Méthode_de_Héron

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Instance of 3
← Approximation algorithm 2
Computes solution to 1
Maintained by WikiProject 1
Named after 1
Subclass of 1
Press Enter · cited answer in seconds

Summary

Heron's method is a methods of computing square roots[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Heron's method. Retrieved November 6, 2026, from https://4ort.xyz/entity/heron-s-method
MLA “Heron's method.” 4ort.xyz Knowledge Graph, 4ort.xyz, 6 Nov. 2026, https://4ort.xyz/entity/heron-s-method.
BibTeX @misc{4ortxyz_heron-s-method_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Heron's method}}, year = {2026}, url = {https://4ort.xyz/entity/heron-s-method}, note = {Accessed: 2026-11-06}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Heron's method — https://4ort.xyz/entity/heron-s-method (retrieved 2026-11-06)

Canonical URL: https://4ort.xyz/entity/heron-s-method · Last refreshed: