+2 votes
in General by kratos

For the following, find the least number that must be added so that the resulting number is a perfect square 7172.

1 Answer

+5 votes
by kratos
 
Best answer

7172
Taking square root of 7172, we find that 116 has been left
We see that 7172 is greater than (84)2

| | 84 |
| 8 | 71 7264 |
| 164 | 772656 |
| | 116 |

On adding the required number to 7172, we get (85)2 i.e., 7225
Required number = 7225 - 7172 = 53

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