Question

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

$1750$.

Answer 1

It gives a remainder as $69$.

This represents that the square of $41$ is less than $1750$.
The next number is $42$ and $(42{)}^2=1764$
The number to be added to get a perfect square $=1764-1750=14$
And hence, required perfect square is $1764$ and the number to be added is $14$.