1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Sum of function inside radicals

  1. Oct 24, 2012 #1

    Is there a general algebraic expression for the sum of a function inside a radical? I mean for something like this?


    The specific case is given with constant c:


    And I supposed a related question is that, is there some way of extracting out just the radical as a separate sum of sqrt(i) or something which will leave three relatively simpler sums below?


  2. jcsd
  3. Oct 24, 2012 #2


    User Avatar
    Science Advisor

    No, that cannot be simplified.
  4. Oct 24, 2012 #3

    Is there any chance a novice could perhaps determine a pattern to the series given enough time and energy? Or is there some strong mathematical reason why it simply isn't possible?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook