Question

What is the least number that should be added to $6200$to make it a perfect square?

Answer 1

Find the least number that should be added to $6200$to make it a perfect square.

Long division can be used to find the square root of a given number, as demonstrated below"

So,${78}^2=6084$
Now compare $6084$and $6200$:

$6084<6200$.
Then comes nearest perfect square larger than $6200$ is:

${79}^2=6241$
The least number is $(6241-6200)=41$, which should be added to $6200$ to produce a perfect square.
The perfect square number required is $6241$.

So,
$\begin{array}{rcl}\sqrt{6241}& =& \sqrt{(79\times 79)}\\ & =& \sqrt{{79}^2}\\ & =& 79\end{array}$
Hence, the least number that should be added to $6200$to make it a perfect square is $41$.