Question

Find a rational number between 𝝅 and √12. Show your work.

Answer 1

To find a rational number between 𝝅 and √12, we can find the decimal approximations of these two numbers and then approximate a rational number based on the decimal places.

First, let's calculate the decimal approximation of 𝝅:
𝝅 ≈ 3.14159

Next, let's calculate the decimal approximation of √12:
√12 ≈ 3.46410

Now, we need to approximate a rational number between these two decimal approximations. We can do this by considering the decimal places.

Between 3.14159 and 3.46410, there is a difference of 3.46410 - 3.14159 = 0.32251.

We can choose a rational number that falls halfw