Respuesta :

c sqrt24 is 4.8989 so it’s placed there

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:

  • [tex]\sqrt{24}[/tex] will be at the right-hand side of 4.256
  • [tex]\sqrt{24[/tex] will be between 4.8 and 4.9

Hence, the correct number line is: (c)

Read more about number lines at:

https://brainly.com/question/18611090

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