How many irrational numbers are there between √11 and √17

Question

options:

four numbers
four numbers

an infinite number
an infinite number

six numbers
six numbers

twenty-eight numbers

Answer 1

Between any two distinct real numbers, there are actually an infinite number of rational and irrational numbers. Since \(\sqrt{11}\) and \(\sqrt{17}\) are both real numbers and are not rational, there are infinitely many irrational numbers between them.

Therefore, the correct answer is:

an infinite number.