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Determine the exact value of (Square Root of Square Root)

  1. Sep 27, 2011 #1
    Determine the exact value of.... (Square Root of Square Root)

    I was looking through my textbook and saw a interesting question, I attempted but couldn't get it. (The Answer in Back of Text Book Was Different From Mine..)

    Question
    Determine the exact value of...

    √10+√10+√10...


    I tried typing it as well as I can , I uploaded image of question just in case :D

    Determine the exact value of:
    0sVBk.jpg
     
  2. jcsd
  3. Sep 27, 2011 #2
    Re: Determine the exact value of.... (Square Root of Square Root)

    Let

    [tex]x=\sqrt{10+\sqrt{10+\sqrt{10+...}}}[/tex]

    What is

    [tex]x^2-10[/tex]

    Does this give you an equation that you can solve??
     
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