Find the least number which must be added to 1752 so as to get a perfect square.

Given :

The given number is 1752.

To find :

We have to find the least number that must be added to 1752 to get a perfect square.

Solution :

To find the least number which must be added to 1752 so as to get a perfect square we have to find root of 1752 by long division method.

 The remainder is 71.

This implies,

$41^2<1752$.

The next perfect square is $42^2= 1764$

Therefore, the number to be added to 1752 to get a perfect square is $1764-1752 = 12$.

The least number which must be added to 1752 so as to get a perfect square is 12.

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Updated on: 10-Oct-2022

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