[tex]\bf \sqrt{17}\approx 4.123 \\\\[-0.35em] ~\dotfill\\\\ \boxed{4}\rule[0.35em]{2em}{0.25pt}\stackrel{\sqrt{17}}{4.123}\rule[0.35em]{10em}{0.25pt}\boxed{5}\qquad \leftarrow \textit{between 4 and 5}[/tex]
We want to see in which section of the number line is √17
We will see that √17 is between 4 and 5 on the number line.
To see this, we can estimate two consecutive whole numbers such that one is smaller than √17 and the other is larger.
The smaller number is 4, because:
4*4 = 16
then:
√16 = 4
So we have:
4 = √16 < √17
And on the other end we have:
5*5 = 25
√17 < √25 = 5
Then we can write:
4 < √17 < 5
So we know that √17 is between 4 and 5 (more closer to 4 than 5) on the number line.
If you want to learn more, you can read:
https://brainly.com/question/16188714
