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Simplifying radicals containing polynomial fractions

  1. Feb 3, 2005 #1
    no idea how to simplify this one:

    sqrt [1- [(x-1)^2/(x+1)^2]]

    thanks

    dave
     
  2. jcsd
  3. Feb 3, 2005 #2
    how about starting with substituting 1 by (x+1)2/(x+1)2
     
  4. Feb 3, 2005 #3
    ok. thanks! so then i get [(x+1)^2 - (x-1)^2/ (x+1)^2] . after that i expanded the polynomial expressions in the numerator and combined them. that simplifies to sqrt [(4x)/ (x+1)^2] or 2 * sqrt (x)/ (x+1). easy enough.
     
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