Find the least number which must be added to 62798 so that the
resulting number is a perfect square.
Answers
Answer:(i) 511
Taking square root of 511, we find that 27 has been left We see that 511 is greater than (22)2
On adding the required number to 511, we get (23)2 i.e., 529
So, the required number = 529 – 511 = 18
(ii) 7172
Taking square root of 7172, we find that 116 has been left
We see that 7172 is greater than (84)2
∴ On adding the required number to 7172, we get (85)2 i.e., 7225
Required number = 7225 – 7172 = 53
Taking square root of 55078, we find that 322 has been left
We see that 55078 is greater than (234)2
On adding the required number to 55078, we get (235)2 i.e., 55225
Required number = 55225 – 55078 = 147
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