Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
729
Advertisements
Solution
729 can be factorised as follows:
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
729 = 3 × 3 × 3 × 3 × 3 × 3
So, `sqrt729 = 3 xx 3 xx 3 = 27`
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
1764
Find the square root of the following number by the prime factorisation method.
8100
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.
2028
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.
1458
Find the square root the following by prime factorization.
4096
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.
Find the square root by prime factorisation method
256
Find the square root by prime factorisation method
784
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
