Simplifying Square RootsDate: 9/5/95 at 19:14:17 From: Richard Seguin Subject: radicals Could you please help me with this problem: ____ 1/2 \/ 24 I know this may seem simple but I am tring to work ahead of my class. How would you go about working this out? Richard Seguin Date: 9/8/95 at 12:58:46 From: Doctor Ken Subject: Re: radicals Hello! The 1/2 sitting out front is just a number that we can multiply by at the end. So I won't worry about it now. To simplify the Sqrt{24}, see if you can find any square factors in it. Holy cow, 24 = 4 * 6 = 2^2 * 6. So we can pull squares out of the radical, like so: Sqrt{24} = Sqrt{2^2 * 6} = 2 * Sqrt{6} And that's about as far as you can go. Then you take that 2 and cancel it with the 1/2, and the final answer is Sqrt{6}. - Doctor Ken, The Geometry Forum |
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