How many irrational numbers are there between V11 and V17? (1 point)

Question

• twenty-eight numbers
• six numbers
• an infinite number
• four numbers

Answer 1

Between any two distinct real numbers, including between \( \sqrt{11} \) and \( \sqrt{17} \), there are infinitely many irrational numbers. This is true because the set of irrational numbers is dense in the real numbers—meaning that between any two real numbers, no matter how close, there are infinitely many irrational numbers.

So, the correct answer is:

• an infinite number