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Properties of Square Numbers

Write all num...

Question

Write all numbers from 400 to 425 which end in 2, 3, 7 or 8. Check if any of these is a perfect square.

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Solution

402, 403, 407, 408, 412, 413, 417, 418, 422, 423

We know that the square of a number does not end in 2, 3, 7 or 8.

Hence, none of them is a perfect square.

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