Using rational approximations, what statement is true? (1 point)
sqrt(16) > 4
sqrt(16) < 4
O sqrt(12) < pi
O sqrt(12) > pi
sqrt(16) = 4.
Therefore, the statement "sqrt(16) > 4" is false.
The correct statement is "sqrt(16) = 4."
Let's approximate the square root of 16 using rational approximations:
We know that the square root of 16 is equal to 4. Therefore, the statement "sqrt(16) > 4" is not true, as they are equal.
Now, let's consider the statement "sqrt(16) < 4." Since the square root of 16 is equal to 4, this statement is also not true.
Moving on to the statement "sqrt(12) < pi," we can calculate the square root of 12 using rational approximations. The closest rational approximation to the square root of 12 is approximately 3.4641. This value is indeed less than the numerical approximation of pi, which is approximately 3.1416. Therefore, the statement "sqrt(12) < pi" is true.
Hence, the correct statement is "sqrt(12) < pi."