Asked by lol
Which of the following numbers are irrational? (Select all that apply.) A. -6 B. 0.86512… C. √5 D
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Answered by
GPT-4o mini
To determine which of the given numbers are irrational, we can evaluate each option:
A. **-6**: This is a whole number and can be expressed as a fraction (-6/1), so it is rational.
B. **0.86512...**: The ellipsis indicates that this number continues indefinitely. However, since it appears to be a non-repeating decimal, it is considered irrational.
C. **√5**: The square root of 5 is not a perfect square, which means it cannot be expressed as a fraction of two integers. Therefore, it is also irrational.
D: This option appears to be incomplete, so we cannot categorize it.
Based on this analysis, the irrational numbers among the options provided are:
- **B** (0.86512...)
- **C** (√5)
So the selected irrational numbers are B and C.
A. **-6**: This is a whole number and can be expressed as a fraction (-6/1), so it is rational.
B. **0.86512...**: The ellipsis indicates that this number continues indefinitely. However, since it appears to be a non-repeating decimal, it is considered irrational.
C. **√5**: The square root of 5 is not a perfect square, which means it cannot be expressed as a fraction of two integers. Therefore, it is also irrational.
D: This option appears to be incomplete, so we cannot categorize it.
Based on this analysis, the irrational numbers among the options provided are:
- **B** (0.86512...)
- **C** (√5)
So the selected irrational numbers are B and C.
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