Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
9216
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
180
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
2028
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
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.
Write the prime factorization of the following number and hence find their square root.
7744
Examine if the following is a perfect square.
841
Find the cube root of 729 and 6859 prime factorisation
