How many irrational numbers are there between 11−−√

Question

and 17−−√
?(1 point)
Responses

six numbers
six numbers

four numbers
four numbers

twenty-eight numbers
twenty-eight numbers

an infinite number

Answer 1

Between \(\sqrt{11}\) and \(\sqrt{17}\), there are an infinite number of irrational numbers.

Both \(\sqrt{11}\) and \(\sqrt{17}\) are irrational numbers, and within any interval on the real number line, there are infinitely many irrational numbers. Therefore, the correct response is:

an infinite number.