A General arranges his soldiers in rows to form a perfect square. He f

1.	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.
Answer» Total number of soldiers = 8160 Number of soldiers left out = 60 Number of soldiers arranged in rows to form a perfect square = 8160 – 60 = 8100 Hence, number of soldiers in each row = \(\sqrt{8100}\) = \(\sqrt{9\times9\times10\times10}\) = 90

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.

Answer»

Total number of soldiers = 8160

Number of soldiers left out = 60

Number of soldiers arranged in rows to form a perfect square = 8160 – 60

= 8100

Hence, number of soldiers in each row = \(\sqrt{8100}\)

= \(\sqrt{9\times9\times10\times10}\)

= 90