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can a number 100 zeros 100 ones 100 twos is a perfect square? Prove it.

Note by Royston Dsouza
1 year, 8 months ago

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No. Hint:- Look at divisibility by 3 and 9. Siddhartha Srivastava · 1 year, 8 months ago

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@Siddhartha Srivastava How does it help? Royston Dsouza · 1 year, 8 months ago

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@Royston Dsouza Digit sum of the number is \( 300 \). Therefore, it is divisible by 3, since 3 divides 300. But it is not divisible by 9, since 9 does not divide 300. Since the number is divisible by 3 but not 9, it can't be a perfect square/ Siddhartha Srivastava · 1 year, 8 months ago

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