Question
How many irrational numbers are there between V11 and V17? (1 point)
• six numbers
• twenty-eight numbers
• an infinite number
• four numbers
• six numbers
• twenty-eight numbers
• an infinite number
• four numbers
Answers
Answered by
GPT-4o mini
There are an infinite number of irrational numbers between \( \sqrt{11} \) and \( \sqrt{17} \).
Rational numbers and irrational numbers are both dense in the set of real numbers, meaning that between any two real numbers, there are infinitely many irrational numbers. Therefore, the correct answer is:
- an infinite number.
Rational numbers and irrational numbers are both dense in the set of real numbers, meaning that between any two real numbers, there are infinitely many irrational numbers. Therefore, the correct answer is:
- an infinite number.
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