Advertisements
Advertisements
प्रश्न
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Advertisements
उत्तर
The prime factorisation of 147:
147 = 3 x 7 x 7
Grouping the factors into pairs of equal factors, we get:
147 = 3 x (7 x 7)
The factor, 3 does not have a pair. Therefore, we must multiply 147 by 3 to make a perfect square. The new number is:
(3 x 3) x (7 x 7) = 441
Taking one factor from each pair on the LHS, the square root of the new number is 3 x 7, which is equal to 21.
APPEARS IN
संबंधित प्रश्न
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.
1008
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.
768
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
A society collected Rs 92.16. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
Write the prime factorization of the following number and hence find their square root.
9604
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.
By splitting into prime factors, find the square root of 194481.
Show that 500 is not a perfect square.
Using prime factorisation, find which of the following are perfect squares.
11250
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
