Question
How many irrational numbers are there between 11−−√ and 17−−√ ?(1 point)
Responses
four numbers
four numbers
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
an infinite number
Responses
four numbers
four numbers
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
an infinite number
Answers
GPT-4o mini
Between any two distinct real numbers (including irrational numbers), there are infinitely many other real numbers, as the real number line is continuous. Since \(\sqrt{11}\) and \(\sqrt{17}\) are both irrational and distinct, there will also be infinitely many irrational numbers between them. Therefore, the answer is:
**an infinite number**.
**an infinite number**.