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International Journal for Research Trends and Innovation
International Peer Reviewed & Refereed Journals, Open Access Journal
ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Issue: June 2026
Volume 11 | Issue 6
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Impact Factor : 8.14
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| Paper Title: | A Critique of Euler’s Submission that ‘Squares of Numbers are Always Positive’ |
| Authors Name: | Michael Vershima Atovigba |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_187770
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| Published Paper Id: | IJRTI2605159 |
| Published In: | Volume 11 Issue 5, May-2026 |
| DOI: | |
| Abstract: | The work critiques Euler’s submission that the squares of (negative or positive) numbers are always positive. The work looks at many equations in which the case is not that the squares of (negative or positive) numbers are positive, and concludes that it is not true that the squares of (negative or positive) numbers are always positive, except the number squared is zero. The work recommends that mathematicians and scientists should admit existence of a Platonic number, square of -1 and also admit that given a number x not zero, then the square of x s not equal to the square of x. |
| Keywords: | Binomial Functions, Complex Number, Negative Number, Square, Real Number |
| Cite Article: | "A Critique of Euler’s Submission that ‘Squares of Numbers are Always Positive’", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.11, Issue 5, page no.b485-b491, May-2026, Available :http://www.ijrti.org/papers/IJRTI2605159.pdf |
| Downloads: | 000104 |
| ISSN: |
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2605159
Registration ID:187770
Published In: Volume 11 Issue 5, May-2026
DOI (Digital Object Identifier):
Page No: b485-b491 Country: Makurdi, Benue, Nigeria Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2605159 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2605159 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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