Using a number line, what is the approximate value of ✓19?
A.4.38
B. 4.13
C 4.5
D.4.25
Using a number line, the approximate value of √19 is approximately 4.38. Therefore, the correct option is A.
To approximate the value of √19 using a number line, we can start by identifying the integers that are closest to 19.
The perfect squares that are less than 19 are 16 (4^2) and 25 (5^2).
Since 19 is closer to 16 than to 25, we can assume that the square root of 19 lies between 4 and 5 on the number line.
Now, we need to further estimate the value between 4 and 5. To do this, we can take the average of 4 and 5:
(4 + 5) / 2 = 9 / 2 = 4.5
So, the approximate value of √19 using a number line is option C - 4.5.