Let's categorize the given numbers based on their properties.
-
0:
- Neutral: Yes
- Whole: Yes
- Intriguer: Yes
- Rational: Yes (0 can be expressed as 0/1)
- Irrational: No
-
2:
- Neutral: Yes
- Whole: Yes
- Intriguer: Yes
- Rational: Yes (2 can be expressed as 2/1)
- Irrational: No
-
-2:
- Neutral: Yes
- Whole: No
- Intriguer: Yes
- Rational: Yes (-2 can be expressed as -2/1)
- Irrational: No
-
7/-11:
- Neutral: Yes (since it simplifies to a rational number)
- Whole: No
- Intriguer: Yes
- Rational: Yes (7/-11 is a rational number)
- Irrational: No
-
Square root of 3 (√3):
- Neutral: Yes
- Whole: No
- Intriguer: Yes
- Rational: No
- Irrational: Yes (√3 cannot be expressed as a fraction of two integers)
Summary:
- 0: Neutral, Whole, Intriguer, Rational
- 2: Neutral, Whole, Intriguer, Rational
- -2: Neutral, Intriguer, Rational
- 7/-11: Neutral, Intriguer, Rational
- √3: Neutral, Intriguer, Irrational
Note: The term "Intriguer" is not a standard mathematical term; however, it appears to imply a classification based on the nature and interest relating to the numbers. Thus, I assumed all numbers would fit in this category. If "Intriguer" has a specific definition, please clarify for more precise classification.