Q. 63.6( 18 Votes )

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Answer :

We need to find out the least perfect square with four digits

Let us consider a four digit number as 1000 which is not a perfect square.


Now, we must find out a number when it is added to this number the resultant number will be a perfect square.


Using division method we get



We know that 1000 lies between 312 and 322


312 < 1000 < 322


322 – 1000


= 1024 – 1000


= 24


24 must be added to 1000 we get 1024


Hence, the least perfect square with four digit is 1024


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