Peter Chew Theorem and Application

Abstract

The Objective of Peter Chew Theorem is to make it easier and faster to solve the problem of quadratic roots, by converting any value of the Quadratic Surds ( √(a+b√(c) ) ) into the sum or difference of two real numbers. Peter Chew Theorem can also convert the square root of a complex number into a complex number (the sum or difference between the real part and the imaginary part), because the square root of the complex number is also the quadratic surd ( √(a+bi) =√(a+b√(-1)) ). In addition, Peter Chew's Theorem can also convert Quadratic Surds ( √(a+b√(c ) )) into the sum or difference of two complex number (√z +√(z ̅ ) ). Technical tools have had a significant impact on advanced mathematics teaching and mathematics learning. Symbolab raised $1.2 million to introduce its unique math search engine to smartphones and tablets. However, today's online calculator only contains the knowledge that has been explained in the book, but the current method cannot or is difficult to solve some Quadratic Surds problems, which makes the online calculator unable to solve the Quadratic Surds problems. This will cause students to reduce interest and hinder the promotion of the use of technical tools. In order to solve the mention problems, my research is to create a new discovery (Peter Chew theorem) for the topic of Quadratic Surds, so that all problems can be easily solved, and then apply Peter Chew’s theorem to a new calculator (PCET calculator), Allow the PCET calculator to solve any problem in the topic of Quadratic Surds, which can make the PCET calculator effectively help mathematics teaching, especially in the future when similar COVID-19 problems arise. Videos related to this article can be obtained through the following links: https://youtu.be/9m7mc0UTsSw.