Using a number line, what is the approximate value of 19−−√?(1 point)
Responses
4.38
4.38
4.25
4.25
4.5
4.5
4.13
Using a number line, the approximate value of 19−−√ is 4.38.
To approximate the value of 19 − √, we can use a number line to help us estimate. Let's break it down step by step.
First, let's determine the square root of 19. Finding the square root of 19 is approximately equal to the square root of 16, which is 4, and the square root of 25, which is 5. So, the square root of 19 lies between 4 and 5.
Next, subtract the square root of 19 from 19. Since the square root of 19 is between 4 and 5, we can estimate that 19 − 4 ≈ 15 and 19 − 5 ≈ 14.
So, the approximate value of 19 − √ is between 14 and 15. From the given choices, the closest option is 4.38, which is the same as saying 14.38.
Therefore, the answer is 4.38.