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

2 answers

To find the approximate value of √19 using a number line, we can start by identifying which two perfect square numbers √19 falls between.

The perfect square numbers close to 19 are 16 (4^2) and 25 (5^2). Therefore, we know that √19 is greater than √16 but less than √25.

On a number line, we can represent these values as:

| | | | | | | | | |
0 2 4 6 8 10 12 14 16 18 20

Since √19 falls between √16 and √25, we can estimate that it falls around the midpoint which is √20.

Hence, the approximate value of √19 is √20.
Using a number line, what is the approximate value of 19−−√?(1 point)
Responses

4.5

4.25

4.38

4.13