On the Constructibility of Real 5th Roots of Rational Numbers with Marked Ruler and Compass
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We demonstrate that there are infinitely many real numbers constructible by marked ruler and compass which are unique real roots of irreducible quintic polynomials over the field of rational numbers.
This result can be viewed as a generalization of the historical open question of the constructibility by marked ruler and compass of real 5th roots of rational numbers.
We obtain our results through marked ruler and compass constructions involving the intersection of conchoids and circles, and the application of number theoretic divisibility criteria.
American Psychological Association (APA)
Benjamin, Elliot. 2012. On the Constructibility of Real 5th Roots of Rational Numbers with Marked Ruler and Compass. ISRN Algebra،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-475563
Modern Language Association (MLA)
Benjamin, Elliot. On the Constructibility of Real 5th Roots of Rational Numbers with Marked Ruler and Compass. ISRN Algebra No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-475563
American Medical Association (AMA)
Benjamin, Elliot. On the Constructibility of Real 5th Roots of Rational Numbers with Marked Ruler and Compass. ISRN Algebra. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-475563
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475563