Question

Which of the following is between π%0D%0A𝜋%0D%0A and 11−−√%0D%0A11%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A12−−√%0D%0A12%0D%0AStart Root 12 End Root%0D%0A%0D%0A8–√%0D%0A8%0D%0AStart Root 8 End Root%0D%0A%0D%0A10−−√%0D%0A10%0D%0AStart Root 10 End Root%0D%0A%0D%0A7–√

Answer 1

To determine which of the options lies between \(\pi\) and \(\sqrt{11}\), we first need to approximate the values of \(\pi\) and \(\sqrt{11}\).

1. **Approximate \(\pi\)**:
\[
\pi \approx 3.14
\]

2. **Approximate \(\sqrt{11}\)**:
\[
\sqrt{11} \approx 3.32
\]

Now, we want to find out which of the given options is between \(3.14\) and \(3.32\):

- **Option 1: \(\sqrt{12}\)**
\[
\sqrt{12} \approx 3.46 \quad (\text{not between } 3.14 \text{ and } 3.32)
\]

- **Option 2: \(\sqrt{8}\)**
\[
\sqrt{8} \approx 2.83 \quad (\text{not between } 3.14 \text{ and } 3.32)
\]

- **Option 3: \(\sqrt{10}\)**
\[
\sqrt{10} \approx 3.16 \quad (\text{between } 3.14 \text{ and } 3.32)
\]

- **Option 4: \(\sqrt{7}\)**
\[
\sqrt{7} \approx 2.65 \quad (\text{not between } 3.14 \text{ and } 3.32)
\]

Based on the approximations, the option that is between \(\pi\) and \(\sqrt{11}\) is:

\(\sqrt{10}\)