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Question

Give a reason to show that none of the numbers given below is perfect square:
(i) 5372
(ii) 5963
(iii) 8457
(iv) 9468
(v) 360
(vi) 6400
(vii) 2500000

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Solution

We know that a number ending in 2, 3, 7 or 8 is never a perfect square. So, (i) 5372, (ii) 5963, (iii) 8457, (iv) 9468 cannot be perfect square
Again number ending in an odd number of zeros is also never a perfect square.
Among
(v) 360, (vi) 64000, (vii)2500000 each one has odd zeros at its end. So, there cannot be a perfect square.


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