Using a number line, what is the approximate value of 19−−√ ?(1 point)
Responses
4.5
4.5
4.13
4.13
4.25
4.25
4.38
To approximate the value of √19 using a number line, we need to find the number that is closest to the square root of 19.
On a number line, we can plot the square roots of numbers by looking for the numbers that are perfect squares.
Let's look for perfect squares near 19:
4^2 = 16,
5^2 = 25.
Since 19 is between 16 and 25, we know that the square root of 19 will be between 4 and 5 on the number line.
To find a more precise approximation, we can divide the distance between 4 and 5 into equal parts.
4.25 is approximately in the middle between 4 and 5, so it is the closest approximation to √19 on the number line.
Therefore, the approximate value of √19 is 4.25.