Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
7744
Advertisements
Solution
7744 can be factorised as follows:
| 2 | 7744 |
| 2 | 3872 |
| 2 | 1936 |
| 2 | 968 |
| 2 | 484 |
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
7744 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11
∴ `sqrt(7744) = 2 xx 2 xx 2 xx 11 = 88`
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
Find the square root the following by prime factorization.
1764
Find the least square number, exactly divisible by each one of the number:
8, 12, 15 and 20
Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?
Find the square root by prime factorisation method
144
Find the square root by prime factorisation method
9025
Show that 500 is not a perfect square.
