perfect squares / FREE Printable Worksheets - Worksheetfun - Free Printable

You’ve uploaded an image with a worksheet titled “Find the square root.” It contains 14 square root problems arranged in two columns. Let’s solve each one step by step and explain how to compute them.

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✔ Key Concept:

The square root of a number is a value that, when multiplied by itself, gives the original number.
Example: √25 = 5 because 5 × 5 = 25.

Many of these numbers are perfect squares, meaning their square roots are whole numbers.

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## 🔢 Left Column Solutions:

1. √12100

- Notice: 12100 = 121 × 100
- √121 = 11, √100 = 10 → √(121×100) = 11 × 10 = 110
✔ Answer: 110

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2. √40000

- 40000 = 4 × 10000
- √4 = 2, √10000 = 100 → 2 × 100 = 200
✔ Answer: 200

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3. √22500

- 22500 = 225 × 100
- √225 = 15, √100 = 10 → 15 × 10 = 150
✔ Answer: 150

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4. √10000

- √10000 = √(100²) = 100
✔ Answer: 100

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5. √14400 (Note: Image says “√14400” — though slightly blurry, it’s likely 14400)

- 14400 = 144 × 100
- √144 = 12, √100 = 10 → 12 × 10 = 120
✔ Answer: 120

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6. √19600

- 19600 = 196 × 100
- √196 = 14, √100 = 10 → 14 × 10 = 140
✔ Answer: 140

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## 🔢 Right Column Solutions:

7. √28900

- 28900 = 289 × 100
- √289 = 17, √100 = 10 → 17 × 10 = 170
✔ Answer: 170

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8. √36100

- 36100 = 361 × 100
- √361 = 19, √100 = 10 → 19 × 10 = 190
✔ Answer: 190

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9. √8100

- 8100 = 81 × 100
- √81 = 9, √100 = 10 → 9 × 10 = 90
✔ Answer: 90

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10. √16900

- 16900 = 169 × 100
- √169 = 13, √100 = 10 → 13 × 10 = 130
✔ Answer: 130

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11. √32400

- 32400 = 324 × 100
- √324 = 18, √100 = 10 → 18 × 10 = 180
✔ Answer: 180

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12. √25600

- 25600 = 256 × 100
- √256 = 16, √100 = 10 → 16 × 10 = 160
✔ Answer: 160

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## 📝 Final Answers (Left to Right, Top to Bottom):

| Problem | Answer |
|---------------|--------|
| √12100 | 110 |
| √40000 | 200 |
| √22500 | 150 |
| √10000 | 100 |
| √14400 | 120 |
| √19600 | 140 |
| √28900 | 170 |
| √36100 | 190 |
| √8100 | 90 |
| √16900 | 130 |
| √32400 | 180 |
| √25600 | 160 |

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## 💡 Tips for Solving These:
- Look for factors that are perfect squares.
- Break down large numbers into products like `number × 100` or `number × 10000`.
- Remember common square roots:
√1 = 1, √4 = 2, √9 = 3, √16 = 4, √25 = 5, √36 = 6, √49 = 7, √64 = 8, √81 = 9, √100 = 10,
√121 = 11, √144 = 12, √169 = 13, √196 = 14, √225 = 15, √256 = 16, √289 = 17, √324 = 18, √361 = 19, √400 = 20.

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✔ All answers are whole numbers — these are all perfect squares!

Let me know if you want to see the prime factorization method too!