Let's solve each square root step by step. We are asked to
find the square root of each number in the image.
---
1. √12100
We know:
- 110² = 12100
So,
✔ √12100 = 110
---
2. √28900
We know:
- 170² = 28900 (since 17² = 289 → 170² = 28900)
So,
✔ √28900 = 170
---
3. √40000
We know:
- 200² = 40000
So,
✔ √40000 = 200
---
4. √36100
We know:
- 190² = 36100 (since 19² = 361 → 190² = 36100)
So,
✔ √36100 = 190
---
5. √22500
We know:
- 150² = 22500 (since 15² = 225 → 150² = 22500)
So,
✔ √22500 = 150
---
6. √8100
We know:
- 90² = 8100 (since 9² = 81 → 90² = 8100)
So,
✔ √8100 = 90
---
7. √10000
We know:
- 100² = 10000
So,
✔ √10000 = 100
---
8. √16900
We know:
- 130² = 16900 (since 13² = 169 → 130² = 16900)
So,
✔ √16900 = 130
---
9. √14400
We know:
- 120² = 14400 (since 12² = 144 → 120² = 14400)
So,
✔ √14400 = 120
---
10. √32400
We know:
- 180² = 32400 (since 18² = 324 → 180² = 32400)
So,
✔ √32400 = 180
---
11. √19600
We know:
- 140² = 19600 (since 14² = 196 → 140² = 19600)
So,
✔ √19600 = 140
---
12. √25600
We know:
- 160² = 25600 (since 16² = 256 → 160² = 25600)
So,
✔ √25600 = 160
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| √12100 | 110 |
| √28900 | 170 |
| √40000 | 200 |
| √36100 | 190 |
| √22500 | 150 |
| √8100 | 90 |
| √10000 | 100 |
| √16900 | 130 |
| √14400 | 120 |
| √32400 | 180 |
| √19600 | 140 |
| √25600 | 160 |
---
🔍 Tip:
All these numbers are perfect squares ending in two zeros, so we can simplify them by factoring out 100:
For example:
√12100 = √(121 × 100) = √121 × √100 = 11 × 10 = 110
This method works for all of them!
Let me know if you'd like a printable version or explanation in another format!
Parent Tip: Review the logic above to help your child master the concept of square and square root worksheet.
