Answer: [tex]\sqrt{18} \approx 4.2[/tex], see attached for graph
Step-by-step explanation:
The perfect square roots surrounding [tex]\sqrt{18x}[/tex] are [tex]\sqrt{16} =4[/tex] and [tex]\sqrt{25} =5[/tex]. This is why the number line given is between 4 and 5.
4.3 * 4.3 = 18.49, so that is too big.
4.1 * 4.1 = 16.81, so that is too small.
[tex]\sqrt{18} \approx 4.2[/tex]
