Advertisements
Advertisements
Question
Write the prime factorization of the following number and hence find their square root.
7744
Advertisements
Solution
The prime factorisation of 7744:
7744 =`2xx2xx2xx2xx2xx2xx11xx11`
Grouping them into pairs of equal factors, we get:
7744 = (2\[\times\]2)\[\times\](2\[\times\]2)\[\times\] (2\[\times\]2)\[\times\](11\[\times\]11)
Taking one factor from each pair, we get :
`sqrt(7744)=2xx2xx2xx2xx11=88`
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
529
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.
Write true (T) or false (F) for the following statement.
The sum of two square numbers is a square number.
Find the square root of each of the following by prime factorization.
441
Find the square root the following by prime factorization.
529
Find the square root the following by prime factorization.
1764
Find the square root the following by prime factorization.
1156
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.
By splitting into prime factors, find the square root of 194481.
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
