Advertisements
Advertisements
Question
Write the prime factorization of the following number and hence find their square root.
9604
Solution
The prime factorisation of 9604:
9604 = 2\[\times\] 2\[\times\]7\[\times\]7\[\times\]7\[\times\]7
Grouping them into pairs of equal factors, we get:
9604 = (2\[\times\]2)\[\times\](7\[\times\]7)\[\times\](7\[\times\] 7)
Taking one factor from each pair, we get:
`sqrt9604=2xx7xx7=98`
APPEARS IN
RELATED QUESTIONS
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.
1008
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
14283
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
By just examining the unit digit, can you tell which of the following cannot be whole square?
1022
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
27225
Examine if the following is a perfect square
725
Examine if the following is a perfect square
1089
