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Write answer with only one root

  1. Aug 5, 2012 #1
    1. The problem statement, all variables and given/known data

    At the end I get the answer: sqrt(sqrt(3)+2)

    It can be show that it is ( sqrt(6)+sqrt(2) ) / 2

    How do I show this?, I have tried, to attempt it my manipulating the expression, but I can't seem to manage it.
     
  2. jcsd
  3. Aug 5, 2012 #2
    ((sqrt(6)+sqrt(2)) / 2)^2 = (1/4)(6+2*sqrt(2)*sqrt(6) + 2) = (1/4)(8 + 2sqrt(12)) = 1/4(8 + 4sqrt(3)) = sqrt(3) + 2
     
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