Radical Dude!

Algebra Level 5

\[\large \sqrt[8]{527 - \dfrac{1}{527 - \frac{1}{527 - \cdots}}} = \dfrac{\sqrt{a} + \sqrt{b}}{c} , \]

where \(a,b,c\) are positive, square-free integers. Find the product \(abc\).

Details and Assumptions:

  • To clarify, it is the \(8^\text{th} \) root that is being taken.
×

Problem Loading...

Note Loading...

Set Loading...