Determine if each number is either rational or irrational.

Question

Rational Numbers

Irrational Numbers

Drag & Drop the answer
121212

848484

36\sqrt{36}
36
​


0.56‾0.\overline{56}0.
56


−719-\frac{7}{19}−
19
7
​


π\piπ

19\sqrt{19}
19
​

Answer 1

Here's the classification of the given numbers into rational and irrational categories:

Rational Numbers:

• 121212 (an integer)
• 848484 (an integer)
• \( 36\sqrt{36} \) (This is equal to \( 36 \times 6 = 216 \), which is also an integer)
• \( 0.56\overline{0} \) (a repeating decimal, which can be expressed as a fraction)
• \( -\frac{7}{19} \) (a fraction)

Irrational Numbers:

• \( \pi \) (an irrational constant)
• \( 19\sqrt{19} \) (this cannot be simplified to a rational number)

So, the final sorting would be:

Rational Numbers:

• 121212
• 848484
• \( 36\sqrt{36} \)
• \( 0.56\overline{0} \)
• \( -\frac{7}{19} \)

Irrational Numbers:

• \( \pi \)
• \( 19\sqrt{19} \)