Advertisements
Advertisements
Question
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
Advertisements
Solution
Since 71 students were left out, there are only 5929 (6000 \[-\]71) students remaining.
Hence, the number of rows or columns is simply the square root of 5929.
Factorising 5929 into its prime factors:
5929 = 7\[\times\]7\[\times\]11\[\times\]11
Grouping them into pairs of equal factors:
5929 = (7 x 7) x (11 x 11)
The square root of 5929
=`sqrt(5929)=7xx11=77`
Hence, in the arrangement, there were 77 rows of students.
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
729
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
Find the square root the following by prime factorization.
3013696
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
Find the square roots of 121 and 169 by the method of repeated subtraction.
Using prime factorisation, find which of the following are perfect squares.
841
