2006 AIME A Problems/Problem 6
Problem
Square 
has sides of length 1. Points 
and 
are on 
and 
respectively, so that 
is equilateral. A square with vertex 
has sides that are parallel to those of and a vertex on 
The length of a side of this smaller square is 
where 
and 
are positive integers and 
is not divisible by the square of any prime. Find 
