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
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.
To approximate the value of 19−−√ on a number line, we need to find the number that, when squared, equals 19.
Start by finding two numbers on the number line that, when squared, are just above and below 19.
The closest perfect squares 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 will be closer to 4 than 5 on the number line.
Therefore, the approximate value of 19−−√ on the number line is 4.38.
To determine the approximate value of the expression 19−−√ using a number line, we need to first understand the square root function (√) and its relationship with numbers.
The square root of a number (√x) is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 (√16) is 4 because 4 * 4 = 16.
In this case, we have 19−−√, which means we need to find the square root of 19. To approximate the value using a number line, we need to find a number that, when squared, is as close to 19 as possible.
Starting from 0 on the number line, we can try squaring different numbers and see how close they are to 19:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
From these values, we can see that the square of 4 (4^2) is the closest to 19 without exceeding it. Therefore, the approximate value of √19 would be 4.
Out of the given options, 4.13, 4.5, 4.25, and 4.38, the closest approximation to the square root of 19 is 4.13.