Question 193024
it depends on the resolution (scale) of the number line


you can always find two points on the line that the value of "root 2" is between


1^2 is 1, and 2^2 is 4 ___ so the value is between 1 and 2


1.5^2 is 2.25 ___ so the value is between 1 and 1.5


1.4^2 is 1.96 ___ so the value is between 1.4 and 1.5


1.42^2 is 2.0164 ___ so the value is between 1.4 and 1.42


you can keep doing this "approximation" (by adding more decimal places) until you get the accuracy you want