using rational approximations, which statement is true?
√12 > π
√12 < π
√16 < 4
√16 > 4
√12 > π is true
To compare these statements using rational approximations, let's consider the approximate values of √12, √16, and π:
- √12 ≈ 3.4641
- √16 ≈ 4
- π ≈ 3.1416
Now, comparing these values:
1. √12 > π:
False, because 3.4641 is less than 3.1416.
2. √12 < π:
True, because 3.4641 is greater than 3.1416.
3. √16 < 4:
False, because both are approximately equal to 4.
4. √16 > 4:
False, because both are approximately equal to 4.
Therefore, the correct statement is: √12 < π.