Question

Choose the correct description of the number set.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(√8 , √9 , √10 )
(-7.4, 0, 3.232323..., √25 )
(√2 , √5 , 𝛑 )
(-⅚ , ⅞ , π/2 )

Option: rational numbers only, irrational numbers only, both rational and irrational numbers

Answer 1

To categorize the provided number sets, let's analyze each one:

1. **(√8 , √9 , √10)**:
- √9 is a rational number (it equals 3).
- √8 and √10 are both irrational numbers.
- This set contains both rational and irrational numbers.

2. **(-7.4, 0, 3.232323..., √25)**:
- -7.4 is rational.
- 0 is rational.
- 3.232323... (which is 3.23 recurring) is rational.
- √25 is rational (it equals 5).
- This set consists entirely of rational numbers.

3. **(√2 , √5 , π)**:
- All three numbers (√2, √5, and π) are irrational.
- This set consists entirely of irrational numbers.

4. **(-⅚ , ⅞ , π/2)**:
- -⅚ and ⅞ are both rational numbers.
- π/2 is irrational.
- This set contains both rational and irrational numbers.

Now, summarizing these findings:

- Set 1: both rational and irrational numbers
- Set 2: rational numbers only
- Set 3: irrational numbers only
- Set 4: both rational and irrational numbers

Putting these responses in the correct input would look like this:

1. (√8 , √9 , √10) - **both rational and irrational numbers**
2. (-7.4, 0, 3.232323..., √25) - **rational numbers only**
3. (√2 , √5 , π) - **irrational numbers only**
4. (-⅚ , ⅞ , π/2) - **both rational and irrational numbers**