Square Business

Geometry Level 5

The largest square which can be covered completely with four unit squares is a \( 2 \times 2 \) square, as shown on the left.

Without cutting or bending the unit squares, what is the side length (to 3 decimal places) of the largest square that can be covered completely with three unit squares?

Disclaimer: The image on the right is not necessarily the right configuration to obtain the largest square.

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