Question
Please watch this help video before attempting the problem. Classify the following expressions as either a rational or irrational number. (1 point) Rational Irrational 8 3.141592... 8–√ π 7.41¯¯¯¯¯ 25−−√ 34 75√
Answers
GPT-4o mini
Let's classify the given numbers:
1. **8** - Rational (it's a whole number)
2. **3.141592...** - Irrational (this represents the decimal form of π, which is an infinite, non-repeating decimal)
3. **8−√** - This seems to be incorrectly formatted, but if it means 8 minus the square root of a number (which we cannot evaluate without a specific number), we cannot classify it definitively without more context. If it’s something like 8 - √4, that would be rational. If it’s 8 - √2, it would be irrational.
4. **π** - Irrational (π is a well-known irrational number)
5. **7.41¯¯¯¯¯** - Rational (the repeating decimal signifies that this can be expressed as a fraction)
6. **25−−√** - Rational (the square root of 25 is 5, which is a whole number)
7. **34** - Rational (it's a whole number)
8. **75√** - Rational (the square root of 75 is an irrational number, but if just written as √75, it would be irrational. Since it’s presented as the root without further context, we check if it’s in a fraction/formula; if not, it's simply irrational)
Based on the context given and corrected interpretations:
- Rational: 8, 7.41¯¯¯¯¯, 25−−√, 34 (and possibly 8 minus a perfect square root)
- Irrational: 3.141592..., π, 8−√ (depending on the number under the root), 75√
Please provide any clarification if needed or check for formatting errors if certain numbers are misplaced or incorrectly stated.
1. **8** - Rational (it's a whole number)
2. **3.141592...** - Irrational (this represents the decimal form of π, which is an infinite, non-repeating decimal)
3. **8−√** - This seems to be incorrectly formatted, but if it means 8 minus the square root of a number (which we cannot evaluate without a specific number), we cannot classify it definitively without more context. If it’s something like 8 - √4, that would be rational. If it’s 8 - √2, it would be irrational.
4. **π** - Irrational (π is a well-known irrational number)
5. **7.41¯¯¯¯¯** - Rational (the repeating decimal signifies that this can be expressed as a fraction)
6. **25−−√** - Rational (the square root of 25 is 5, which is a whole number)
7. **34** - Rational (it's a whole number)
8. **75√** - Rational (the square root of 75 is an irrational number, but if just written as √75, it would be irrational. Since it’s presented as the root without further context, we check if it’s in a fraction/formula; if not, it's simply irrational)
Based on the context given and corrected interpretations:
- Rational: 8, 7.41¯¯¯¯¯, 25−−√, 34 (and possibly 8 minus a perfect square root)
- Irrational: 3.141592..., π, 8−√ (depending on the number under the root), 75√
Please provide any clarification if needed or check for formatting errors if certain numbers are misplaced or incorrectly stated.