Answer:
[tex]\sqrt{23}\approx 4.8[/tex]
Step-by-step explanation:
Please find the attachment.
We have been given a number line and we are asked to plot the approximate location of [tex]\sqrt{23}[/tex] on the given number line.
Let us find the value of [tex]\sqrt{23}[/tex] using calculator as:
[tex]\sqrt{23}=4.7958315233127195[/tex]
Upon rounding the value of [tex]\sqrt{23}[/tex] to nearest tenth we will get,
[tex]\sqrt{23}\approx 4.8[/tex]
We can see that each small part on the number line equals 0.25, therefore we should plot the approximate location of [tex]\sqrt{23}[/tex] just after 4.75.
