Question

Toggle whether the expression is rational or irrational.(9 points)
Rational Irrational
3–√+25


23×5–√


2π +7


0.5+34


0.5


2–√


3.5×4.3


49−−√


7π

Answer 1

Let's evaluate each expression to determine whether it is rational or irrational:

1. **\(3\sqrt{+25\)**
- This is \(3\sqrt{25} = 3 \times 5 = 15\), which is rational.

2. **\(23 \times 5\sqrt{}\)**
- Assuming a typo and this is intended as \(23 \times \sqrt{5}\): \(\sqrt{5}\) is irrational, thus \(23 \times \sqrt{5}\) is also irrational.

3. **\(2\pi + 7\)**
- \(2\pi\) is irrational, hence \(2\pi + 7\) is irrational.

4. **\(0.5 + 34\)**
- This is \(0.5 + 34 = 34.5\), which is rational.

5. **\(0.5\)**
- This is rational (as it can be expressed as \(\frac{1}{2}\)).

6. **\(2\sqrt{}\)**
- Assuming a typo, reading it as \(2\sqrt{2}\): \(\sqrt{2}\) is irrational, hence \(2\sqrt{2}\) is also irrational.

7. **\(3.5 \times 4.3\)**
- This computes to \(15.05\), which is rational.

8. **\(49\sqrt{}\)**
- Assuming this means \(\sqrt{49}\): \(\sqrt{49} = 7\), which is rational.

9. **\(7\pi\)**
- Since \(\pi\) is irrational, \(7\pi\) is also irrational.

### Summary:

- **Rational:**
- \(3\sqrt{+25} = 15\)
- \(0.5 + 34 = 34.5\)
- \(0.5\)
- \(3.5 \times 4.3 = 15.05\)
- \(\sqrt{49} = 7\)

- **Irrational:**
- \(23 \times \sqrt{5}\)
- \(2\pi + 7\)
- \(2\sqrt{2}\)
- \(7\pi\)

If any of the interpretations were off, please clarify, and I can make adjustments!