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Without doing any calculation, find the numbers which are surely not perfect squares. (i) 153 (ii) 257 (iii) 408 (iv) 441

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Without doing any calculation, find the numbers which are surely not perfect squares.

(i) 153

(ii) 257

(iii) 408

(iv) 441

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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

(iii) 408 ⟹ Ends with 8

∴ 408 is not a perfect square

(iv) 441 ⟹ Ends with 1

∴ 441 is a perfect square.

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