Let's solve each square root problem on the worksheet and round the answers to
3 decimal places.
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1 a. √149
- √149 ≈ 12.207
1 b. √144
- √144 = 12.000 (perfect square)
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2 a. √176
- √176 ≈ 13.266
2 b. √41
- √41 ≈ 6.403
---
3 a. √131
- √131 ≈ 11.446
3 b. √86
- √86 ≈ 9.274
---
4 a. √14
- √14 ≈ 3.742
4 b. √152
- √152 ≈ 12.329
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5 a. √278
- √278 ≈ 16.673
5 b. √7
- √7 ≈ 2.646
---
6 a. √239
- √239 ≈ 15.459
6 b. √195
- √195 ≈ 13.964
---
7 a. √108
- √108 ≈ 10.392
7 b. √295
- √295 ≈ 17.176
---
8 a. √272
- √272 ≈ 16.492
8 b. √298
- √298 ≈ 17.263
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✔ Final Answers (Rounded to 3 Decimal Places):
| Problem | Answer |
|--------|------------|
| 1 a. | 12.207 |
| 1 b. | 12.000 |
| 2 a. | 13.266 |
| 2 b. | 6.403 |
| 3 a. | 11.446 |
| 3 b. | 9.274 |
| 4 a. | 3.742 |
| 4 b. | 12.329 |
| 5 a. | 16.673 |
| 5 b. | 2.646 |
| 6 a. | 15.459 |
| 6 b. | 13.964 |
| 7 a. | 10.392 |
| 7 b. | 17.176 |
| 8 a. | 16.492 |
| 8 b. | 17.263 |
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🔍 Explanation:
- For perfect squares like
√144, we know that 12² = 144, so √144 = 12.
- For non-perfect squares, we use estimation or a calculator to find the approximate square root.
- We then
round each result to
three decimal places using standard rounding rules.
Let me know if you'd like a step-by-step method for estimating square roots manually!
Parent Tip: Review the logic above to help your child master the concept of square root worksheet 8th grade.
