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

Question

Responses

six numbers
six numbers

an infinite number
an infinite number

twenty-eight numbers
twenty-eight numbers

four numbers

Answer 1

Between \( \sqrt{11} \) and \( \sqrt{17} \), there are infinitely many irrational numbers.

The square roots of numbers between 11 and 17 are all irrational, and since there are infinitely many real numbers (both rational and irrational) between any two distinct real numbers, the correct response is:

an infinite number.