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The task here is to estimate the square roots of the given numbers by using perfect squares.

Let's go through the square roots step by step:

1. \(\sqrt{71}\):
   - Perfect squares close to 71 are \(64 = 8^2\) and \(81 = 9^2\).
   - So, \(\sqrt{71}\) is between 8 and 9. Since 71 is closer to 64 than 81, it is approximately 8.4.

2. \(\sqrt{29}\):
   - Perfect squares close to 29 are \(25 = 5^2\) and \(36 = 6^2\).
   - So, \(\sqrt{29}\) is between 5 and 6. Since 29 is closer to 25, it is approximately 5.4.

3. \(\sqrt{54}\):
   - Perfect squares close to 54 are \(49 = 7^2\) and \(64 = 8^2\).
   - So, \(\sqrt{54}\) is between 7 and 8. Since 54 is closer to 49, it is approximately 7.3.

4. \(\sqrt{18}\):
   - Perfect squares close to 18 are \(16 = 4^2\) and \(25 = 5^2\).
   - So, \(\sqrt{18}\) is between 4 and 5. Since 18 is closer to 16, it is approximately 4.2.

### Summary of estimations:
- \(\sqrt{71} \approx 8.4\)
- \(\sqrt{29} \approx 5.4\)
- \(\sqrt{54} \approx 7.3\)
- \(\sqrt{18} \approx 4.2\)

Would you like more details on how to find square roots or any additional explanation?

Here are some follow-up questions for better understanding:
1. What are perfect squares and why are they useful in estimating square roots?
2. How can you improve the accuracy of square root estimates without a calculator?
3. What is the difference between exact square roots and estimated square roots?
4. Can you estimate the square root of \(\sqrt{50}\) using the same method?
5. How do perfect squares relate to solving quadratic equations?

**Tip:** To quickly estimate square roots, always find the two nearest perfect squares around the number you're working with!

Estimate each square root using perfect squares: √71, √29, √54, √18.

Learn how to estimate square roots of numbers like 71, 29, 54, and 18 by using perfect squares. This lesson is great for students in Grades 7-9 who want to strengthen their skills in square root estimation.

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