Based on the hints of distinguishing between radical and non-radical numbers, we have the following lists:
- [tex]\sqrt{3}[/tex], [tex]2.\overline{2}[/tex], 2.5, [tex]\sqrt{5}[/tex]
- 3.01, [tex]3.\overline{01}[/tex],[tex]3.\overline{1}[/tex], [tex]\sqrt{9}[/tex]
- [tex]-4.\overline{1}[/tex], - 4.1, 4.01, [tex]\sqrt{17}[/tex]
- - 2.5, [tex]-\sqrt{5}[/tex], [tex]\sqrt{6}[/tex], 2.5
How to order numbers from least to greatest
In this question we must order sets of numbers in ascending order. A hint consists in comparing non-radical numbers with the closest radical numbers whose results are integers.
In consequence, we obtain the following orders:
- [tex]\sqrt{3}[/tex], [tex]2.\overline{2}[/tex], 2.5, [tex]\sqrt{5}[/tex]
- 3.01, [tex]3.\overline{01}[/tex],[tex]3.\overline{1}[/tex], [tex]\sqrt{9}[/tex]
- [tex]-4.\overline{1}[/tex], - 4.1, 4.01, [tex]\sqrt{17}[/tex]
- - 2.5, [tex]-\sqrt{5}[/tex], [tex]\sqrt{6}[/tex], 2.5
To learn more on sets: https://brainly.com/question/18877138
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