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Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

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Products and sums of squares

Show that the product of any two numbers, each of which is the sum of two square integers, is itself the sum of two square integers.

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If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXVIII,
puzzles about square numbers, or a random puzzle.

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