Article View: k12.ed.math
Article #420Re: Math prob...
From: Mike Bolduan
Date: Thu, 17 Dec 1992 18:48
Date: Thu, 17 Dec 1992 18:48
30 lines
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1616 bytes
Charles: You said "I thought that sqrt(y+5) was the same as sqrt(y) + sqrt(5)...." This is the trouble spot. Try it with all numbers: Is sqrt(9) + sqrt(16) equal to sqrt(9+16)? Only if you can convince me that 3 + 4 is 5. You don't say what level of mathematics you are studying, but it might be a good idea if you were to read a short section in an Alg I book which discusses square roots and how to work with them. Sometimes strange thjings happen. Try this one: sqrt(9) TIMES sqrt(16). Is it sqrt(9 x 16) ? Hmmm... The above also suggests something you can try if you aren't sure if one expression is always equal to another: make up a similar expression using plain ol' numbers and see if it "works" If it does NOT then you KNOW you can't use it generally, and if it DOES work you can feel safer about using it. But beware you may have simply "gotten lucky" and chosen some numbers where it happened to work. This is why we need to come up with the idea of PROVING things in math. and BTW, proving things is NOT just something you do in geometry class. Cheers. mike bolduan bolduan@catlin bolduan@catseq.catlin.edu -- mike bolduan bolduan@catlin
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Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!magnus.acs.ohio-state.edu!usenet.ins.cwru.edu!cleveland.Freenet.Edu!cb919 From: cb919@cleveland.Freenet.Edu (Mike Bolduan) Newsgroups: k12.ed.math Subject: Re: Math prob... Date: 17 Dec 1992 18:48:14 GMT Organization: Case Western Reserve University, Cleveland, Ohio (USA) Lines: 30 Message-ID: <1gqi1eINN1ve@usenet.INS.CWRU.Edu> NNTP-Posting-Host: hela.ins.cwru.edu