Is the number 5460 a perfect square? If not, find the smallest number which needs to be subtracted from it to make it a perfect square.

Asked by Topperlearning User | 19th Feb, 2014, 01:30: PM

Expert Answer:

By long division method:

 

Since, the remainder is not zero, it is not a square number.

The remainder is 131, Thus, if we subtract 131 from 5460, we get a perfect square number.

5460 - 131 = 5329 is a perfect square number.

Hence, the required smallest number to be subtracted is 131.

Answered by  | 19th Feb, 2014, 03:30: PM