Using a number line, what is the approximate value of √19?

4.38

4.5

4.25

4.13

The approximate value of √19 is 4.38.

To approximate the value of √19 using a number line, we can look for a whole number between which the square root of 19 falls.

The square root of 16 is 4, and the square root of 25 is 5. Therefore, the square root of 19 is between 4 and 5.

Looking at the options given, the closest whole number is 4.5. So, the approximate value of √19 is 4.5.

Therefore, the answer is: 4.5