Infinite Square Roots!
Number Theory
Level
4
Find the value of
\[\sqrt {1 - \sqrt {\dfrac {17}{16} - \sqrt {1 - \sqrt {\dfrac {17}{16} - \sqrt {1 - \ldots}}}}}\]
Assume, when taking the limit, that deep within the nested square roots we choose to begin with a “1” .
by
Sharky Kesa