Question

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



(4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area 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−−√
59
Press enter key to drop response here.
52−−√
52
Press enter key to drop response here.
38−−√
38
Press enter key to drop response here.
91−−√
91
Press enter key to drop response here.
Select to move response to a response input area.ESelect to move response to a response input area.BSelect to move response to a response input area.CSelect to move response to a response input area.ASelect to move response to a response input area.D
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Answer 1

I don’t have the number-line image, so I can’t place the labels A–E for you. Here are the values and where each belongs; tell me which point corresponds to which tick and I’ll match them.

- sqrt(38) is between 6 and 7 (since 6^2 = 36 < 38 < 49 = 7^2). Approx = 6.16.
- sqrt(52) is between 7 and 8 (49 < 52 < 64). Approx = 7.21.
- sqrt(59) is between 7 and 8 (49 < 59 < 64), closer to 8. Approx = 7.68.
- sqrt(91) is between 9 and 10 (81 < 91 < 100). Approx = 9.54.

So the order from left to right is: sqrt(38) (≈6.16), sqrt(52) (≈7.21), sqrt(59) (≈7.68), sqrt(91) (≈9.54).

If you post the number line image or tell me which labeled point sits near 6.2, 7.2, 7.7, and 9.5 (or which labels are at the integer ticks), I’ll assign each sqrt to A, B, C, D, etc.