Each of the sides of square PQRS has length 1.

Points E and F are on QR and RS, respectively, so that triangle PEF is equilateral.

A square with vertex Q has sides that are parallel to those of PQRS and a vertex on PE.

The length of a side of this smaller square is (x –√y)/z , where x, y, and z are positive
integers and y is not divisible by the square of any prime.

Determine x,y and z