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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. - Mathematics

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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. 
∴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:

Hence, the number of soldiers in each row to form a perfect square is 90.

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Chapter 3: Squares and Square Roots - Exercise 3.5 [Page 44]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.5 | Q 8 | Page 44

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