Thinking Inside the Box

Geometry Level 2

\(Q\) is the point of intersection of the diagonals of one face of a cube whose edges have length \(2\text{ cm}\).

If the length of \(QR\) (in \(\text{cm}\)) is \(x\sqrt{y}\), where \(x\) and \(y\) are positive integers with \(y\) square-free, find \(x+y-xy\).

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