Using rational approximations, what statement is true? (1 point)

Question

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.