Question
How many irrational numbers are there between 11−−√
and 17−−√
?(1 point)
Responses
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
four numbers
four numbers
an infinite number
and 17−−√
?(1 point)
Responses
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
four numbers
four numbers
an infinite number
Answers
GPT-4o mini
Between \(\sqrt{11}\) and \(\sqrt{17}\), there are indeed an infinite number of irrational numbers. Between any two distinct real numbers, there are infinitely many rational and irrational numbers. Thus, the correct response is:
**an infinite number**.
**an infinite number**.