Question

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

Answer 1

Answer:

The correct number line is the third one.

Step-by-step explanation:

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

We need to choose the number line that correctly compares $\sqrt{24}$ and $4.256$

First we are going to express $\sqrt{24}$ in decimal form ⇒

$\sqrt{24}$ ≅ $4.8989$

We can conclude that $\sqrt{24}>4.256$

Now looking at the picture in the first number line we can notice that $\sqrt{24}$ is placed between $4.2$ and $4.3$ which is wrong. Also we can see in the number line that $4.256>\sqrt{24}$ which is wrong again.

For the second number line $\sqrt{24}$ and $4.256$ are both placed incorrectly.

In the fourth number line $\sqrt{24}$ 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. $\sqrt{24}$ is well placed between $4.8$ and $4.9$ , $4.256$ is well placed between $4.2$ and $4.3$