Answer:
D. [tex]\sqrt{15}[/tex]
Step-by-step explanation:
We can start by squaring each of the options and also squaring 4. This will make it easier for us to compare all the values:
[tex]4^{2} =16\\[/tex]
[tex]\sqrt{18}^{2} =18[/tex]
[tex]\sqrt{19}^{2}=19[/tex]
[tex]\sqrt{13}^{2} =13[/tex]
[tex]\sqrt{15}^{2} =15[/tex]
Which of these values (18, 19, 13, or 15) is closest to 16? 16 and 18 have a difference of two. 16 and 19 have a difference of three. 16 and 13 have a difference of three. Finally, 16 and 15 have a difference of one. So, we know that [tex]\sqrt{15}[/tex] is the closest in value to 4.
Hopefully that was helpful! If you have any more questions, let me know. :)
