Using a number line, what is the approximate value of 19−−√ ?(1 point) Responses 4.38 4.38 4.13 4.13 4.25 4.25 4.5
To find the approximate value of √19, we can use a number line.
Start by estimating the square root of 19 by finding two perfect squares that it lies between.
Since the perfect square of 4 is 16 and the perfect square of 5 is 25, we can conclude that √19 is between 4 and 5 on the number line.
Now, to estimate the decimal value, we can divide 19 by a decimal value between 4 and 5. Let's choose 4.5.
19 ÷ 4.5 = 4.2222...
So, the approximate value of √19 is 4.22 or 4.2