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

Question

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