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How to simplify double radical when theres fractions involved?

  1. Sep 6, 2013 #1
    1. The problem statement, all variables and given/known data


    sqrt((2-sqrt(3))/4)

    I tried to split whatever is under the radical sign into two separate parts, 1/2 and (-1/4)sqrt(3)
    I realized that 1.5 times 2 is 3 and 2-1.5 = 1/2 so it seemed like it fulfilled the requirements for solving a double radical. so I put down

    sqrt(3/2) - sqrt(2)

    and end up with (sqrt(3) - 2)/sqrt(2) which isn't correct since the actual answer is

    (sqrt(6) - sqrt(2)) / 4

    What am I doing wrong?
     
  2. jcsd
  3. Sep 6, 2013 #2

    eumyang

    User Avatar
    Homework Helper

    I'm guessing that you mean this?
    [tex]\sqrt{\frac{2-\sqrt{3}}{4}}[/tex]
    There is a formula for simplifying double radicals. See here.
     
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