How many irrational numbers are there between 11−−√ and 17−−√ ?(1 point)

Question

Responses

four numbers
four numbers

twenty-eight numbers
twenty-eight numbers

six numbers
six numbers

an infinite number

Answer 1

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.