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Homework Help: Extended binomial theorem

  1. Mar 18, 2010 #1
    1. The problem statement, all variables and given/known data

    Calculate [tex] \sqrt{1/20} [/tex] using the extended binomial theormem. (a precision of k=4 is enough)


    3. The attempt at a solution

    [tex] \sqrt{1/20}= (1 + (-19/20) )^{1/2}= \sum( choose (1/2,k)*(-19/20)^k) = 1- 1/2*19/20-1/8*361/400+1/16*6589/8000 = 0.72... [/tex] is wrong.
    1. The problem statement, all variables and given/known data


    Where is my mistake?
    Thanks
    Tal
    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 18, 2010 #2

    vela

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    You made a simple sign mistake somewhere, it seems.
     
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