MathDB

Putnam 1995 B4

Source:

July 1, 2014

Putnaminductioncontinued fractioncollege contests

Problem Statement

Evaluate :

\sqrt[8]{2207-\frac{1}{2207-\frac{1}{2207-\cdots}}}

Express your expression in the form

\frac{a+b\sqrt{c}}{d}

where

a,b,c,d\in \Bbb{Z}