Repeating Radicals
Algebra
Level
4
\[\large \sqrt{1 + \dfrac{1}{\sqrt{1 - \dfrac{1}{\sqrt{1 + \dfrac{1}{\sqrt{1 - \cdots}}}}}}}\]
If the above expression equals \(x,\) then determine \(\lfloor 1000x \rfloor.\)
by
Brian Charlesworth