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Square Root Question

  1. Sep 30, 2012 #1
    1. The problem statement, all variables and given/known data

    ∫(e^x)/(√4-e^(2x))


    2. Relevant equations

    arcsin of x

    3. The attempt at a solution

    I know how the problem should be solved and have an idea of what the final answer will be. My only question is, how would I take out the four from the square root, in order to make it a 1? Can I just pull out 1/4?

    Thank You
     
  2. jcsd
  3. Sep 30, 2012 #2

    Mentallic

    User Avatar
    Homework Helper

    Yep. If you have [tex]\sqrt{4a+b}[/tex] then in order to make the coefficient of a equal to 1, just factor out a 4 and then use the rule that [itex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/itex] so we'll have

    [tex]\sqrt{4a+b}[/tex]
    [tex]=\sqrt{4(a+b/4)}[/tex]
    [tex]=\sqrt{4}\sqrt{a+b/4}[/tex]
    [tex]=2\sqrt{a+b/4}[/tex]
     
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