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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
Squares and Square Roots
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08/08/2021 11:30 am
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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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08/08/2021 11:32 am
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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