Question

Using rational approximations, what statement is true? (1 point)
O the square root of 16 < 4
O the square root of 12 < pi
O the square root of 16 > 4
O the square root of 12 > Pi

Answer 1

To evaluate the statements:

1. **The square root of 16 < 4**: This is false because \(\sqrt{16} = 4\).

2. **The square root of 12 < π**: Approximating \(\sqrt{12} \approx 3.464\) and knowing that \(\pi \approx 3.14159\), this statement is true.

3. **The square root of 16 > 4**: This is false because \(\sqrt{16} = 4\).

4. **The square root of 12 > π**: This is false since we found \(\sqrt{12} \approx 3.464\) which is less than \(\pi \approx 3.14159\).

The true statement is:

**The square root of 12 < π**.