Name 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.
60−−√
89−−√
105−−−√
52−−√

options: Point B, Point C, Point E, Point A, Point D

Answer 1

To associate each irrational number with a point on the number line, we need to evaluate the approximate values of each square root:

1. \( \sqrt{60} \) ≈ 7.75
2. \( \sqrt{89} \) ≈ 9.43
3. \( \sqrt{105} \) ≈ 10.25
4. \( \sqrt{52} \) ≈ 7.21

Next, we can associate these approximate values with the points on the number line:

• Point A: likely corresponds to a value between 7 and 8.
• Point B: likely corresponds to a value between 8 and 9.
• Point C: likely corresponds to a value between 9 and 10.
• Point D: likely corresponds to a value between 10 and 11.
• Point E: likely corresponds to a value above 11.

Given these associations, we can assign the points as follows:

• \( \sqrt{60} \) (≈ 7.75) → Point B
• \( \sqrt{89} \) (≈ 9.43) → Point C
• \( \sqrt{105} \) (≈ 10.25) → Point D
• \( \sqrt{52} \) (≈ 7.21) → Point A

Therefore, the points associated with each number are:

• \( \sqrt{60} \) → Point B
• \( \sqrt{89} \) → Point C
• \( \sqrt{105} \) → Point D
• \( \sqrt{52} \) → Point A