Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
9216
Advertisements
Solution
9216 can be factorised as follows:
| 2 | 9216 |
| 2 | 4608 |
| 2 | 2304 |
| 2 | 1152 |
| 2 | 576 |
| 2 | 288 |
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3× 3
∴ `sqrt(9216) = 2 xx 2 xx 2 xx 2 xx 2 xx 3 = 96`
APPEARS IN
RELATED QUESTIONS
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the square root the following by prime factorization.
7056
Find the square root the following by prime factorization.
27225
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Write the prime factorization of the following number and hence find their square root.
9604
Find the square root by prime factorisation method
256
Find the square root by prime factorisation method
4761
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
Using prime factorisation, find which of the following are perfect squares.
729
Using prime factorisation, find the square roots of 4761
