Advertisements
Advertisements
Question
Write the prime factorization of the following number and hence find their square root.
5929
Advertisements
Solution
The prime factorisation of 5929:
5929 = 7 x 7 x 11 x 11
Grouping them into pairs of equal factors, we get:
5929 = (7\[\times\]7)\[\times\](11\[\times\]11)
Taking one factor from each pair, we get:
`sqrt(5929)=7xx11=77`
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
529
Find the number of digits in the square root of the following numbers (without any calculation).
390625
Find the least number which must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
4000
Find the square of the following by long division method:
12544
Find the square root the following by long division method:
97344
Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.
Find the square root by long division method
17956
The square root of a perfect square of n digits will have `((n + 1)/2)` digits, if n is odd.
Find the square root of the following by long division method.
5625
Find the square root of the following by long division method.
1.44
