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Simplification problem

  1. Nov 29, 2012 #1
    1. The problem statement, all variables and given/known data

    √(1)2+(2t)2+(2t2)2= 1+2t2

    I'm a bit confused i'm getting √(1+4t^2+4t^2) don't quite understand how they are getting the above answer.


    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Nov 29, 2012 #2


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    An algebra mistake:##\sqrt{1+(2t)^2+(2t^2)^2}=\sqrt{1+4t^2+4t^4}## Does that help?
  4. Nov 29, 2012 #3
    No, that was a typo on my part. I originally got the same thing as you. If you factor out a 4t^2

    You get √1+4t^2(1+t^2). I dont see how anything can be cancelled due to that pesky 1 term.
  5. Nov 29, 2012 #4


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    There's no cancellation here. You're merely simplifying the left hand side to get the right hand side.

    What is [itex]{(1 + 2t^2)}^2[/itex]?
  6. Nov 29, 2012 #5
    Haha wow silly me. This has always actually confused me, is there a set formula to condense it the way you did?

    Thanks again for the help
  7. Nov 29, 2012 #6


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    No, just observation of the form [itex]a^2 + 2ab + b^2[/itex]. I guess it comes with experience and practice. :smile:
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