Question

Quick pls

Plot the approximate location of √23 on the number line.


-2 | | | -1 | | | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | |

Answer 1

First, let's see how 23 compares with the squares of the positive whole numbers on the number line.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.

Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.

Look at the attached image to see where I plotted the approximate location of √23.

You will realize that this approximation is pretty close since the actual value is roughly 4.80.

Let me know if you need any clarifications, thanks!