Question:
Find the least number which must be added to 6203 to obtain a perfect square. Find this perfect square and its square root.
Solution:
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 aiven number to make it a perfect square $=6241-6203$
= 38
The perfect square thus obtained is 6241 and its square root is 79.