classify each number as rational or irrational

Question

1. -15
2. 3.67
3. √25
4. 2π
5. 4.8
6. √12

Answer 1

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