Name the point on the number line best associated with each irrational number.

Question

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(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
105−−−√
89−−√
52−−√
60−−√

Answer 1

To associate the given irrational numbers with their corresponding points on the number line, we first need to evaluate them as approximate decimal values:

1. √105:

   • Approximate value: √105 ≈ 10.246

2. √89:

   • Approximate value: √89 ≈ 9.434

3. √52:

   • Approximate value: √52 ≈ 7.211

4. √60:

   • Approximate value: √60 ≈ 7.746

Now we can arrange these decimal approximations in ascending order. This will help us determine their positions on the number line:

• √52 ≈ 7.211 (smallest)
• √60 ≈ 7.746
• √89 ≈ 9.434
• √105 ≈ 10.246 (largest)

Based on these approximations, the association with points on the number line can be described as follows:

• √52 is closest to the point around 7.2
• √60 is closest to the point around 7.7
• √89 is closest to the point around 9.4
• √105 is closest to the point around 10.2

With this understanding, you can match the irrational numbers to the appropriate points on the number line in the provided interface. If you have a specific number line or set of points available, you can then place these in the appropriate locations based on their approximate values.