Question

Using rational approximations, what statement is true?

responses

√16 > 4

√12 < >

√16 < 4

√12 > π

Answer 1

Let's evaluate the provided statements one by one:

1. **√16 > 4**:
- Since √16 = 4, the statement is false.

2. **√12 < ? (appears incomplete)**:
- This statement is missing a comparison.

3. **√16 < 4**:
- Since √16 = 4, the statement is false.

4. **√12 > π**:
- To evaluate this, we can approximate:
- √12 is approximately 3.464 (since √12 = √(4×3) = 2√3, and √3 is about 1.732).
- π is approximately 3.142.
- Thus, 3.464 > 3.142, so this statement is true.

Based on this analysis, the only true statement among the options is **√12 > π**.