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CBSE Class 8 Answered

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 | 19 Feb, 2014, 01:30: PM
answered-by-expert 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 | 19 Feb, 2014, 03:30: PM

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