using rational approximations what statement is true
√16 > 4
√12 < π
√16 < 4
√12 > π
Both statements are true:
√16 > 4
√12 < π
One answer that's right
√16 > 4 (true, because √16 = 4)
√12 < π (true, because √12 is approximately 3.464 and π is approximately 3.141)
To compare using rational approximations, we can use a calculator to find decimal approximations.
1. √16 ≈ 4. This is true because the square root of 16 is exactly 4.
2. √12 ≈ 3.464. This is a rational approximation for the square root of 12.
3. π ≈ 3.14159. This is a rational approximation for the value of π.
Comparing the rational approximations:
- √16 ≈ 4, and since 4 is equal to 4, the statement √16 > 4 is false.
- √12 ≈ 3.464, and π ≈ 3.14159. Since 3.464 is greater than 3.14159, the statement √12 > π is true.
Therefore, the true statement is: √12 > π.