Advertisements
Advertisements
Question
Find the square root by prime factorisation method
9025
Advertisements
Solution
9025 = 5 × 5 × 19 × 19
9025 = 52 × 192
9025 = (5 × 19)2
`sqrt(9025) = sqrt((5 xx 19)^2` = 5 × 19 = 95
| 5 | 9025 |
| 5 | 1805 |
| 19 | 361 |
| 19 | 19 |
| 1 |
APPEARS IN
RELATED QUESTIONS
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
Write five numbers for which you cannot decide whether they are squares.
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
47089
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
Write the prime factorization of the following number and hence find their square root.
7744
Examine if the following is a perfect square
1089
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
1000 is a perfect square.
