Question

Using rational approximations, what statement is true?

options:


√16 < 4

√12 > π

√16 > 4

√12 < π

Answer 1

To evaluate the statements using rational approximations, let's calculate and compare the values.

1. **√16 < 4**:
- √16 = 4
- So, √16 < 4 is **false**.

2. **√12 > π**:
- We know that π is approximately 3.14.
- √12 is approximately 3.464 (since √12 = √(4*3) = 2√3, and √3 is approximately 1.732).
- 3.464 is greater than 3.14, so √12 > π is **true**.

3. **√16 > 4**:
- As calculated earlier, √16 = 4.
- So, √16 > 4 is **false**.

4. **√12 < π**:
- As we found that √12 is approximately 3.464, and π is approximately 3.14.
- Therefore, √12 < π is **false**.

From these evaluations, the true statement is:

**√12 > π**.