Question

Name 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.
105−−−√

Press enter key to drop response here.
89−−√

Press enter key to drop response here.
60−−√

Press enter key to drop response here.
52−−√

Press enter key to drop response here.
Skip to navigation

Answer 1

I don't have the number‑line diagram or the point labels, so I can't give the exact point names yet. If you can paste the diagram or list the labeled points (e.g. A at 7.2, B at 7.8, C at 9.4, D at 10.25, or describe where each label sits), I will match each irrational to the correct point.

Meanwhile, here are the decimal approximations and how to place each square root on a number line (use the nearest perfect squares):

- sqrt(52): 7^2 = 49 and 8^2 = 64, so sqrt(52) ≈ 7.211
- sqrt(60): between 7 and 8, sqrt(60) ≈ 7.746
- sqrt(89): 9^2 = 81 and 10^2 = 100, so sqrt(89) ≈ 9.434
- sqrt(105): between 10 and 11, sqrt(105) ≈ 10.247

Use those values to pick the point on your number line closest to each decimal. If you send the diagram or the point coordinates/labels, I'll assign each irrational to its point.