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Question

Using digit sum rule, determine if 1626 is a perfect square.

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Solution

Sum of digits in 1626 is 1+6+2+6=15
Upon adding again we get 1+5=6.
The repeated digit sum of a perfect square is always 1, 4, 7 or 9.
Since the sum is 6 in 1626, it cannot be a perfect square

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