To evaluate the statements regarding the square roots and their comparisons with known values or constants, let's analyze each statement one by one.
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\( \sqrt{16} > 4 \):
- We calculate \( \sqrt{16} = 4 \).
- Therefore, this statement is false.
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\( \sqrt{16} < 4 \):
- As previously calculated, \( \sqrt{16} = 4 \).
- Therefore, this statement is also false.
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\( \sqrt{12} < \pi \):
- We know \( \pi \approx 3.14 \).
- \( \sqrt{12} \approx 3.464 \) (since \( \sqrt{12} = \sqrt{4 \cdot 3} = 2\sqrt{3} \), and \( \sqrt{3} \approx 1.732\)).
- Thus \( \sqrt{12} > \pi \), making this statement false.
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\( \sqrt{12} > \pi \):
- As we calculated, \( \sqrt{12} \approx 3.464 \) and \( \pi \approx 3.14 \).
- Therefore, \( \sqrt{12} > \pi \) is true.
From the analysis, the statement that is true is:
\( \sqrt{12} > \pi \).