An investigation into Continued Fraction Expansions of √ N

A continued fraction represents a number using an integer part and a sequence of positive integers in the denominators, with all numerators equal to one. This research examines the infinite continued fraction expansions of square roots of non-perfect squares. We observed and proved patterns in these expansions.

Publication Details

Journal
Rowan Digitals Works (Rowan University)
Published
2025-04-29
Primary Topic
Philosophy and Social Theory
Type
article
Field-Weighted Citation Impact
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article

An investigation into Continued Fraction Expansions of √ N

Rowan Digitals Works (Rowan University)
Philosophy and Social Theory
article

An investigation into Continued Fraction Expansions of √ N

article en

Abstract

A continued fraction represents a number using an integer part and a sequence of positive integers in the denominators, with all numerators equal to one. This research examines the infinite continued fraction expansions of square roots of non-perfect squares. We observed and proved patterns in these expansions.

Rowan Digitals Works (Rowan University)
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Philosophy and Social Theory
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An investigation into Continued Fraction Expansions of √ N · Rowan Digitals Works (Rowan University) (2025) | TGRS Research Map | TGRS