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Without doing any calculation, find the numbers which are surely not perfect squares ii. 257 iii. 408 iv. 441

Without doing any calculation, find the numbers which are surely not perfect squares  ii. 257 iii. 408 iv. 441 

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student

We know that natural numbers ending with the digits 0, 2, 3, 7 and 8 are not perfect square.



ii. 257⟹ Ends with 7 ∴, 257 is not a perfect square

iii. 408⟹ Ends with 8 ∴, 408 is not a perfect square

​iv. 441⟹ Ends with 1 ∴, 441 is a perfect square.

Thanks

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