Question

(√2 , √5 , 𝛑 ) rational only, irrational only, or both?

Answer 1

To classify the numbers \(\sqrt{2}\), \(\sqrt{5}\), and \(\pi\):

1. **\(\sqrt{2}\)**: This is an irrational number. It cannot be expressed as a fraction of two integers.

2. **\(\sqrt{5}\)**: This is also an irrational number for the same reason as \(\sqrt{2}\).

3. **\(\pi\)**: This is another irrational number. It cannot be expressed as a fraction of two integers and is a well-known example of an irrational number.

In summary, all three numbers \(\sqrt{2}\), \(\sqrt{5}\), and \(\pi\) are irrational numbers. Therefore, the classification for the set \((\sqrt{2}, \sqrt{5}, \pi)\) is **irrational only**.