Question:
A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.
Solution:
60 soldiers are left out.
$\therefore$ Remainaing soldiers $=8160-60=8100$
The number of soldiers in each row to form a perfect square would be the square root of 8100. We have to find the square root of 8100 by the long division method as shown below:.png)
Hence, the number of soldiers in each row to form a perfect square is 90.
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