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Out of 745 Students, Maximum Are to Be Arranged in the School Field for a P.T. Display, Such that the Number of Rows is Equal to the Number of Columns. Find the Number of Rows If 16 Students - Mathematics

Sum

Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.

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Solution

Total number of students = 745
Students left after standing in arrangement = 16
No. of students who were to be arranged = 745 – 16 = 729
The number of rows = no. of students in each row
No. of rows = `sqrt(729)`

3 729
3 243
3 81
3 27
3 9
3 3
  1

 

 

 

 

 

 

 

= `sqrt(bar(3 xx 3) xx bar(3xx3) xx bar(3xx3)`

= 3 x 3 x 3 = 27

Concept: Finding Square Root Through Prime Factorisation
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 9 | Page 38
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