nested roots

For discussing Olympiad Level Algebra (and Inequality) problems
jagdish
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Joined:Wed Jan 19, 2011 2:21 pm
Location:India (Himanchal Pradesh)
nested roots

Unread post by jagdish » Thu Nov 10, 2011 10:18 pm

find value of $\left(2+\sqrt{1+\sqrt{2+\sqrt{1+\sqrt{2+...}}}}\right)-\left(1+\sqrt{2+\sqrt{1+\sqrt{2+\sqrt{1+...}}}}\right)=$
jagdish

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