Question

determine if rational or irrational:
-15, 3.67, square root of 25, 2 pi, square root of 12

Answer 1

To determine whether each of the given numbers is rational or irrational, we can analyze them one by one:

1. **-15**: This is a whole number, and all whole numbers are rational numbers (they can be expressed as -15/1). So, -15 is **rational**.

2. **3.67**: This is a decimal that can be expressed as a fraction (3.67 = 367/100). Therefore, 3.67 is **rational**.

3. **Square root of 25**: The square root of 25 is 5, which is a whole number and can be expressed as 5/1. So, the square root of 25 is **rational**.

4. **2 pi**: The number pi (π) is an irrational number, and multiplying it by 2 does not change its irrationality. Therefore, 2 pi is **irrational**.

5. **Square root of 12**: The square root of 12 can be simplified to \(2\sqrt{3}\). Since \(\sqrt{3}\) is an irrational number, \(2\sqrt{3}\) is also irrational. Thus, the square root of 12 is **irrational**.

In summary:
- -15: **rational**
- 3.67: **rational**
- Square root of 25: **rational**
- 2 pi: **irrational**
- Square root of 12: **irrational**