Find the square root of each number in this math worksheet.

Let's solve each square root step by step and explain the process.

We are asked to find the square root of several numbers. We'll simplify each one:

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1. √12100

Break it down:
- 12100 = 121 × 100
- √121 = 11, √100 = 10
- So, √12100 = √(121 × 100) = √121 × √100 = 11 × 10 = 110

✔ Answer: 110

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2. √28900

Break it down:
- 28900 = 289 × 100
- √289 = 17 (since 17² = 289), √100 = 10
- So, √28900 = 17 × 10 = 170

✔ Answer: 170

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3. √40000

Break it down:
- 40000 = 4 × 10000
- √4 = 2, √10000 = 100
- So, √40000 = 2 × 100 = 200

✔ Answer: 200

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4. √36100

Break it down:
- 36100 = 361 × 100
- √361 = 19 (since 19² = 361), √100 = 10
- So, √36100 = 19 × 10 = 190

✔ Answer: 190

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5. √22500

Break it down:
- 22500 = 225 × 100
- √225 = 15 (since 15² = 225), √100 = 10
- So, √22500 = 15 × 10 = 150

✔ Answer: 150

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6. √8100

Break it down:
- 8100 = 81 × 100
- √81 = 9, √100 = 10
- So, √8100 = 9 × 10 = 90

✔ Answer: 90

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7. √10000

This is straightforward:
- √10000 = 100

✔ Answer: 100

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8. √16900

Break it down:
- 16900 = 169 × 100
- √169 = 13 (since 13² = 169), √100 = 10
- So, √16900 = 13 × 10 = 130

✔ Answer: 130

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9. √900

- √900 = 30 (since 30² = 900)

✔ Answer: 30

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10. √32400

Break it down:
- 32400 = 324 × 100
- √324 = 18 (since 18² = 324), √100 = 10
- So, √32400 = 18 × 10 = 180

✔ Answer: 180

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11. √19600

Break it down:
- 19600 = 196 × 100
- √196 = 14 (since 14² = 196), √100 = 10
- So, √19600 = 14 × 10 = 140

✔ Answer: 140

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12. √25600

Break it down:
- 25600 = 256 × 100
- √256 = 16 (since 16² = 256), √100 = 10
- So, √25600 = 16 × 10 = 160

✔ Answer: 160

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✔ Final Answers:

| Problem | Answer |
|----------------|--------|
| √12100 | 110 |
| √28900 | 170 |
| √40000 | 200 |
| √36100 | 190 |
| √22500 | 150 |
| √8100 | 90 |
| √10000 | 100 |
| √16900 | 130 |
| √900 | 30 |
| √32400 | 180 |
| √19600 | 140 |
| √25600 | 160 |

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🔍 Tips for Solving Square Roots:

- Look for perfect squares.
- Break large numbers into smaller parts (like ×100, ×10000).
- Use known squares:
10²=100, 11²=121, 12²=144, ..., 20²=400, ..., 100²=10000.
- For numbers ending in 00, you can factor out 100 and take √100 = 10.

Let me know if you'd like a printable version or want to practice more!