Match the point on the number line best associated with each irrational number:

Question

(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.
59−−√
91−−√
38−−√
52−−√
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E
A
D
B
C

Answer 1

To match the points on the number line with their corresponding square roots, we first need to calculate the approximate decimal values for each of the given irrational numbers:

1. \( \sqrt{59} \approx 7.68 \)
2. \( \sqrt{91} \approx 9.54 \)
3. \( \sqrt{38} \approx 6.16 \)
4. \( \sqrt{52} \approx 7.21 \)

Now, let's sort these values in ascending order:

• \( \sqrt{38} \approx 6.16 \)
• \( \sqrt{52} \approx 7.21 \)
• \( \sqrt{59} \approx 7.68 \)
• \( \sqrt{91} \approx 9.54 \)

Given the inputs A, B, C, D, and E, let's assign them as follows:

• \( \sqrt{38} \) --> C (6.16)
• \( \sqrt{52} \) --> D (7.21)
• \( \sqrt{59} \) --> E (7.68)
• \( \sqrt{91} \) --> B (9.54)

You can now input the responses based on this matching.