Question

Determine if each number is either rational or irrational. Click Here for Help Video.

Rational Numbers

Irrational Numbers

Drag & Drop the answer
π\piπ

19\sqrt{19}
19
​


64\sqrt{64}
64
​


101010

0.12‾0.\overline{12}0.
12


−517-\frac{5}{17}−
17
5
​


212121

Answer 1

Let's determine whether each of the given numbers is rational or irrational:

1. **π (pi)**:
- **Irrational**. Pi is a non-repeating, non-terminating decimal.

2. **√19 (square root of 19)**:
- **Irrational**. Square roots of non-perfect squares are irrational.

3. **19**:
- **Rational**. It can be expressed as the fraction 19/1.

4. **√64 (square root of 64)**:
- **Rational**. The square root of 64 is 8, which is a whole number.

5. **64**:
- **Rational**. It can be expressed as the fraction 64/1.

6. **101010**:
- **Rational**. It can be expressed as the fraction 101010/1.

7. **0.12 (repeating)**:
- **Rational**. Repeating decimals can be expressed as fractions.

8. **−(5/17)**:
- **Rational**. It is a fraction.

9. **212121**:
- **Rational**. It can be expressed as the fraction 212121/1.

To summarize:

- **Rational Numbers**: 19, √64, 64, 101010, 0.12 (repeating), −(5/17), 212121
- **Irrational Numbers**: π, √19