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Digital Square Numbers

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
Here are the nine digits so arranged that they form four square numbers: 9, 81, 324, 576. Now, can you put them all together so as to form a single square number--(I) the smallest possible, and (II) the largest possible?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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