Advertisements
Advertisements
Question
Find the square root the following by prime factorization.
47089
Advertisements
Solution
Resolving 47089 into prime factors:
47089 = 7 x 7 x 31 x 31
Grouping the factors into pairs of equal factors:
47089 = (7 x 7) x (31 x 31)
Taking one factor for each pair, we get the square root of 47089:
7 x 31 = 217
APPEARS IN
RELATED QUESTIONS
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
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
396
By just examining the unit digis, can you tell which of the following cannot be whole squares?
1028
Find the square root the following by prime factorization.
196
Find the square root the following by prime factorization.
190969
Find the square root the following by prime factorization.
586756
Find the cube root of 729 and 6859 prime factorisation
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
