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 September 11th, 2019, 07:37 AM #1 Newbie   Joined: Sep 2019 From: Sri Lanka Posts: 1 Thanks: 0 What is this theory called? $\displaystyle \sqrt{4}=-2$ I was said that above equation is false. And also, $\displaystyle \sqrt{a^2}=\left|a\right|$ $\displaystyle \mathrm{For}\:a\ge \:0\:\mathrm{rewrite\:}\:\sqrt{a^2}=\left|a\right| \:\mathrm{\:as}\:\sqrt{a^2}=a$ $\displaystyle \mathrm{For}\:a<0\:\mathrm{rewrite\:}\:\sqrt{a^2}= \left|a\right|\:\mathrm{\:as}\:\sqrt{a^2}=-a$ What is this theory and where can I found more about this theory? Tnx. September 12th, 2019, 12:38 PM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 387 Thanks: 212 I don't know about a theory, but every mathematical convention I have ever seen took √ to represent the principal square root, which is exactly what you have described (for positive, real numbers). Thanks from deSilvaM Tags called, theory Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Skykai Math 6 January 13th, 2016 01:09 PM Rossy Algebra 5 January 17th, 2014 08:58 PM ricsi046 Linear Algebra 2 December 17th, 2013 02:50 PM srd Algebra 7 April 23rd, 2013 12:37 AM tejolson Algebra 1 December 27th, 2012 10:15 AM

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