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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