Question:
Which of the following numbers are perfect squares?
(i) 484
(ii) 625
(iii) 576
(iv) 941
(v) 961
(vi) 2500
Solution:
(i) 484 = 222
(ii) 625 = 252
(iii) 576 = 242
(iv) Perfect squares closest to 941 are 900 (302) and 961 (312). Since 30 and 31 are consecutive numbers, there are no perfect squares between 900 and 961. Hence, 941 is not a perfect square.
(v) 961 = 312
(vi) 2500 = 502
Hence, all numbers except that in (iv), i.e. 941, are perfect squares.
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