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The proposed construction extends the classical approach to the square root of real numbers to include both infinitely large and infinitely small numbers.\n                  <\/jats:p>","DOI":"10.2478\/forma-2025-0001","type":"journal-article","created":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T16:21:38Z","timestamp":1760372498000},"page":"1-10","source":"Crossref","is-referenced-by-count":0,"title":["Surreal Numbers: A Study of Square Roots"],"prefix":"10.2478","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7099-1669","authenticated-orcid":false,"given":"Karol","family":"P\u0105k","sequence":"first","affiliation":[{"name":"Faculty of Computer Science , University of Bia\u0142ystok , Poland"}]}],"member":"374","published-online":{"date-parts":[[2025,9,30]]},"reference":[{"key":"2026033010152153423_j_forma-2025-0001_ref_001","unstructured":"Norman L. Alling. Foundations of Analysis over Surreal Number Fields. Number 141 in Mathematics Studies. 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