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8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of - Mathematics

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Question

8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Sum

Solution

Given: Total number of students were sitting in a lecture room = 8649

Suppose number of students in each row be ‘x’

According to the question,

Total number of students = x × x

8649 = x2

By taking square root on both side,

x = `sqrt(8649)`

x = `sqrt(93 xx 93)`

x = `sqrt(93^2)`

x = 93

Hence, the number of students in each row is 93.

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 95]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 126. | Page 95

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