In the previous segment, we learnt how to use the prime factorisation method to find the square root of a number. In this segment, we will look at an example to find the square root using the prime factorisation method.
Example
Q. Find the square root of 11025. Solution:
Step 1: Find the prime factors of 11025.
| 3 | 11025 |
| 3 | 3675 |
| 5 | 1225 |
| 5 | 225 |
| 7 | 49 |
| 7 |
∴ 11025 = 3 x 3 x 5 x 5 x 7 x 7 Step 2: Pair the prime factors. 11025 = 3 x 3 x 5 x 5 x 7 x 7
Step 3: Choose one number from each pair and multiply. 11025 = 3 x 5 x 7 = 105
Step 4: The product in step 3 is the square root of 11025.
√11025 = 105
What’s next?
