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Find the least number which must be added to 1752 so as to get a perfect square.
Given :
The given number is 1752.
To find :
We have to find the least number that must be added to 1752 to get a perfect square.
Solution :
To find the least number which must be added to 1752 so as to get a perfect square we have to find root of 1752 by long division method.
| 41 | |
4 4 | 1752 16 |
81 1 | 152 81 |
| 71 |
The remainder is 71.
This implies,
$41^2<1752$.
The next perfect square is $42^2= 1764$
Therefore, the number to be added to 1752 to get a perfect square is $1764-1752 = 12$.
The least number which must be added to 1752 so as to get a perfect square is 12.
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