Question

Choose the number line that correctly compares square root 24 and 4.256

Answer 1

The correct number line is the third one.

Explanation:

The picture is missing. I will attach the picture with the answer.

We need to choose the number line that correctly compares
`√(24)` and
`4.256`

First we are going to express
`√(24)` in decimal form ⇒

`√(24)` ≅
`4.8989`

We can conclude that
`√(24)>4.256`

Now looking at the picture in the first number line we can notice that
`√(24)` is placed between
`4.2` and
`4.3` which is wrong. Also we can see in the number line that
`4.256>√(24)` which is wrong again.

For the second number line
`√(24)` and
`4.256` are both placed incorrectly.

In the fourth number line
`√(24)` is placed between
`4.9` and
`5.0` which is wrong.
`4.256` is placed wrong between
`4.3` and
`4.4`

However the third number line is correct.
`√(24)` is well placed between
`4.8` and
`4.9` ,
`4.256` is well placed between
`4.2` and
`4.3`