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 square root of the following number by the prime factorisation method.
400
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 divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2925
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
Find the square root the following by prime factorization.
1764
Find the square root the following by prime factorization.
7056
By splitting into prime factors, find the square root of 11025.
Find the smallest number by which 2592 be multiplied so that the product is a perfect square.
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.
