Find the least number which must be added to 252 such that the number becomes a perfect square.

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Solution

We know that:
$225 < 252 < 256$
$15^{2} < 252 < 16^{2}$
So $4$ must be added to $252$ to make it a perfect square.

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Find the least number which must be added to 252 such that the number becomes a perfect square.

We know that:225<252<256152<252<162So 4 must be added to 252 to make it a perfect square.

We know that:
$225 < 252 < 256$
$15^{2} < 252 < 16^{2}$
So $4$ must be added to $252$ to make it a perfect square.