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What least number must be added to 81180 to make it a perfect square?
Given :
The given number is 81180.
To do :
We have to find the least number to be added to 81180 to make it a perfect square.
Solution :
To find the least number to be added to 81180 to make it a perfect square can be found out by using the long division method.
284 | |
2 2 | 81180 4 |
48 8 | 411 384 |
564 4 | 2780 2256 |
524 | |
Therefore, $(284)^2 =81180$
The next perfect square number is $285^2 = 81225$
Therefore, the number to be added is $81225-81180=45$.
Therefore, the number to be added to 81180 to make it a perfect square is 45.
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