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Homework Help: Square root problem

  1. Dec 5, 2007 #1
    reducing sqrt(4t^2+4+1/t^2) to (1+2t^2)/t

    3. The attempt at a solution
    - This is actually just a portion of a calculus problem, but I can't figure out how the book did the algebra here. I get (2t^2+2t+1)/t and don't know how that reduces to (1+2t^2)/t. Please help.
  2. jcsd
  3. Dec 5, 2007 #2


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    Factor the 1/t^2 out as 1/t. Then 4*t^4+4*t^2+1=(2*t^2+1)^2.
  4. Dec 12, 2007 #3
    Put the whole thing under a single fraction : (4t^4 + 4t^2 + 1) / t^2
    Now above you have a complete square so you can simplify this and when you do the square root you get the exact solution
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