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 $285^2 = 81225$(285)2=81225.



(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.


Updated on: 10-Oct-2022

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