Using a number line, what is the approximate value of square root 19

A. 4.38
B. 4.5
C. 4.13
D. 4.25

1 answer

To determine the approximate value of square root 19 using a number line, we need to locate the number 19 on the number line and estimate the value of the square root.

A number line can be drawn and labeled with the relevant numbers, but it is difficult to display accurately in this text-based format. However, we can still use a number line conceptually. We know that 16 is a perfect square, and it is less than 19, so let's place it on the number line. We can also place 25, which is the next perfect square after 19.

On the number line, we have:

16 -------- ? --------- 19 -------- ? --------- 25

Now, we can see that 19 is closer to 16 than it is to 25, suggesting that the square root of 19 should be closer to the square root of 16, which is 4, than to the square root of 25, which is 5.

So, the approximate value of square root 19 is 4.
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