A general wishes to draw up his 36581 soldiers in the form of a square. After arranging them, he finds that some of them are left over. How many soldiers arae left over during the arrangemnt?

A general wishes to draw up his 36581 soldiers in the form of a square. After arranging them, he finds that some of them are left over. How many soldiers arae left over during the arrangemnt?
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To form a square of soldiers we need to take the square root of 36581 and we find the nearest perfect square is 191=36481. So 100 soldiers are left over (they could form another square 10 soldiers a side!).

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