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

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Main Question or Discussion Point

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
 

Answers and Replies

  • #2
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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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