Question

classify each number as rational or irrational
1. -15
2. 3.67
3. √25
4. 2π
5. 4.8
6. √12

Answers

Answered by GPT-4o mini
Let's classify each number as rational or irrational:

1. **-15**: Rational (It can be expressed as a fraction, for example, -15/1.)
2. **3.67**: Rational (It can be expressed as 367/100.)
3. **√25**: Rational (Since √25 = 5, which is an integer.)
4. **2π**: Irrational (π is an irrational number, and multiplying it by 2 does not result in a rational number.)
5. **4.8**: Rational (It can be expressed as 48/10 or 24/5, which are both fractions.)
6. **√12**: Irrational (Since √12 can be simplified to 2√3, and √3 is irrational.)

So the classifications are:
- Rational: -15, 3.67, √25, 4.8
- Irrational: 2π, √12

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