Question

Determine which categories that the following numbers belong a number may be in more than one category Neutral, intriguer, and irrational
Zero1 -47 over -11 Square root five

Answer 1

Let's classify the given numbers into the categories: neutral, intruder, and irrational.

1. **Zero (0)**:
- **Neutral**: Yes, zero is considered a neutral number, as it is neither positive nor negative.
- **Intruder**: Not applicable, as it's not a unique case among the others.
- **Irrational**: No, zero is a rational number (it can be expressed as 0/1).

2. **-47 over -11 (-47/-11)**:
- **Neutral**: No, this is a fraction that simplifies to approximately 4.27, which is not neutral.
- **Intruder**: No, this is a rational number that fits with other rational numbers.
- **Irrational**: No, -47/-11 is a rational number since both -47 and -11 are integers.

3. **Square root of five (√5)**:
- **Neutral**: No, this is not a neutral number.
- **Intruder**: Yes, √5 is an irrational number and stands out among rational numbers.
- **Irrational**: Yes, √5 is an irrational number because it cannot be expressed as a fraction of two integers.

### Summary:
- **Zero (0)**: Neutral
- **-47/-11**: Rational
- **√5**: Irrational, Intruder

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