Choose the number line that correctly compares 24 and 4.256

A number line shows the comparison between numbers, at a regular interval.
The correct number line that compares [tex]\sqrt{24[/tex] and [tex]4.256[/tex] is (c)
The numbers are given as:
[tex]n_1 = \sqrt{24}[/tex]
[tex]n_2 = 4.256[/tex]
So, we have:
[tex]n_1 = \sqrt{24}[/tex]
Take square roots
[tex]n_1 = 4.899[/tex]
4.899 is greater than 4.256 i.e. [tex]n_1 > n_2[/tex]
So, we have:
[tex]\sqrt{24} > 4.256[/tex]
Number lines increases in value towards the right. This means that:
Hence, the correct number line is: (c)
Read more about number lines at:
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