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

Responses

4.13
4.13

4.5
4.5

4.25
4.25

4.38

3 answers

The approximate value of √19 can be found by locating 19 on a number line and estimating the square root value between the two whole numbers it falls in between.
19 falls between 4 and 5 on the number line. Since 19 is closer to 16 (4^2) than to 25 (5^2), the approximate value of √19 is closer to 4 than to 5. Therefore, the correct answer is 4.38.
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To approximate the value of √19 using a number line, we can start by finding the two perfect square numbers that √19 lies between. The perfect square numbers closest to 19 are 16 (4^2) and 25 (5^2).

Since 19 is closer to 16 than 25, we know that the square root of 19 is closer to 4 than 5. Therefore, the approximate value of √19 is 4. Get answer 4.