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

To approximate the value of 19√, we need to estimate the value of the square root of 19. Using a number line, we can plot the values to find an approximation.

On the number line, mark 0 on one end and 20 on the other. Start by placing the whole numbers 0, 1, 2, 3, ..., 19 on the number line.

Next, estimate the position of the square root of 19 on the number line by considering the values before and after it. Based on its position between the whole numbers, approximate the value of the square root of 19.

Using this method, we can estimate that the approximate value of √19 is around 4.36.

Multiplying this approximation by 19, we get approximately 82.84.

Therefore, the approximate value of 19√ is 82.84.

Thats not an option, the options are

A: 4.13
B: 4.5
C: 4.38
D: 4.25

Based on the given options, the closest approximate value of 19√ is 4.38 (Option C).