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Root difference inequality

  1. May 23, 2013 #1
    How many integers satisfy {√n-√(23×24)}^2<1


    I was able to solved this by trial and error method , but i want to know systematic step-wise solution.
     
  2. jcsd
  3. May 23, 2013 #2

    Ray Vickson

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    Show us what you did; perhaps your method was as good as anything.
     
  4. May 23, 2013 #3
    Notice that the square root of 23x24 is approximately the square root of 23 squared. Since asked about only integers, this approximation suffices
     
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