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

According to question,

In order to find the square root of the given number we will use the long division method.


Hence,


Using long division method,



Therefore, to get a perfect square than the given number we have to take the square of the next natural number of the quotient, i.e. 78


792 = 6241


Therefore,


Number that should be added to the given number to make it a perfect square = 6241 – 6203


= 38


Thus, the perfect square obtained is 6241 and its square root is 79


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