Question

Find the least number which must be added to 6203 to obtain a perfect square. Find this perfect square and its square root.

Answer 1

Using the long division method:


Thus, to get a perfect square greater than the given number, we take the square of the next natural number of the quotient, i.e. 78.
${79}^2=6241$
Number that should be added to the given number to make it a perfect square $$\begin{gathered} =6241-6203 \\ =38 \end{gathered}$$

The perfect square thus obtained is 6241 and its square root is 79.