Question

Find the least number which must be added to 8400 to obtain a perfect square. Find this perfect square and its square root.

Answer 1

Using the long division method:


The next natural number that is a perfect square can be obtained by squaring the next natural number of the obtained quotient, i.e. 91.
Therefore square of (91+1) = ${92}^2=8464$
Number that should be added to the given number to make it a perfect square $=8464-8400=64$
The perfect square thus obtained is 8464 and its square root is 92.