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Without doing any calculation, find the numbers which are surely not perfect squares. i. 153 ii. 257

Without doing any calculation, find the numbers which are surely not perfect squares. i. 153 ii. 257 

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.

i. 153⟹ Ends with 3. ∴, 153 is not a perfect square

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

.

Thanks

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