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.
2 answers