Overcoming Errors in Chat GPT with Peter Chew's Theorem [ Convert Quadratic Surds Into Two Complex Numbers ]

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Abstract

This research aims to investigate whether Peter Chew's theorem can help overcome errors in Chat GPT when converting decimal value quadratic surds into two complex numbers. We utilize the Peter Chew Quadratic Surd Diagram (PCQSD) calculator to verify the correctness of these conversions. Method: We conducted tests on two categories of Quadratic Surds Questions using Chat GPT and the PCQSD calculator. Each category included three Quadratic Surds Questions. The first category comprised Small integer value quadratic surds, while the second involved decimal value quadratic surds. Results: This research findings demonstrate that both Chat GPT and the PCQSD calculator can accurately convert integer value Quadratic Surds Questions. However, Chat GPT struggles to correctly convert decimal value quadratic surds into two complex numbers, whereas the PCQSD calculator excels in this task.
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Overcoming Errors in Chat GPT with Peter Chew's Theorem [ Convert Quadratic Surds Into Two Complex Numbers ] | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 3 December 2025 V1 Latest version Share on Overcoming Errors in Chat GPT with Peter Chew's Theorem [ Convert Quadratic Surds Into Two Complex Numbers ] Author : Prof. Dr. Peter Chew 0000-0002-5935-3041 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176479231.19426740/v1 138 views 106 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This research aims to investigate whether Peter Chew's theorem can help overcome errors in Chat GPT when converting decimal value quadratic surds into two complex numbers. We utilize the Peter Chew Quadratic Surd Diagram (PCQSD) calculator to verify the correctness of these conversions. Method: We conducted tests on two categories of Quadratic Surds Questions using Chat GPT and the PCQSD calculator. Each category included three Quadratic Surds Questions. The first category comprised Small integer value quadratic surds, while the second involved decimal value quadratic surds. Results: This research findings demonstrate that both Chat GPT and the PCQSD calculator can accurately convert integer value Quadratic Surds Questions. However, Chat GPT struggles to correctly convert decimal value quadratic surds into two complex numbers, whereas the PCQSD calculator excels in this task. Supplementary Material File (overcoming errors in chat gpt with peter chew theorem.pdf) Download 2.58 MB Information & Authors Information Version history V1 Version 1 03 December 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords chatgpt, complex numbers convert quadratic surds overcoming errors peter chew's theorem Authors Affiliations Prof. Dr. Peter Chew 0000-0002-5935-3041 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 138 views 106 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Prof. Dr. Peter Chew. Overcoming Errors in Chat GPT with Peter Chew's Theorem [ Convert Quadratic Surds Into Two Complex Numbers ]. Authorea . 03 December 2025. DOI: https://doi.org/10.22541/au.176479231.19426740/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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