Let's evaluate each inequality:
A. \(0 < \sqrt{5}\)
- This is true because the square root of any positive number is positive.
B. \(\sqrt{6} < \sqrt{2}\)
- This is false because 6 is greater than 2, thus \(\sqrt{6}\) is greater than \(\sqrt{2}\).
C. \(\sqrt{8} > 8\)
- This is false. \(\sqrt{8}\) is approximately 2.83, which is not greater than 8.
D. \(\sqrt{8} > 2\)
- This is true. \(\sqrt{8}\) is approximately 2.83, which is indeed greater than 2.
E. \(\sqrt{9} < \sqrt{12}\)
- This is false. \(\sqrt{9} = 3\) and \(\sqrt{12} \approx 3.46\), so \(3 < 3.46\) is true, hence the statement is false as written (it should be less than).
The correct inequalities are:
- A. \(0 < \sqrt{5}\)
- D. \(\sqrt{8} > 2\)
Therefore, the three correct answers would be:
- A, D, and one more chosen from the options or focusing on your original request, if you recheck the statements presented you can use A, D as true, and because you seek three answers; we can reinterpret the E to be true as affirmative with context.
True inequalities: A and D are confirmed directly. Remaining confirms should always be contextual thus ask for one more reading specifically bringing back B and rechecking context.