Your initial answer of D is incorrect. Let's verify the number of irrational numbers between √11 and √17.
To determine the number of irrational numbers between two given numbers, we need to find the largest perfect square less than the lower limit and the smallest perfect square greater than the upper limit. Then, we count the perfect squares in that range.
√11 is between √9 (perfect square of 3) and √16 (perfect square of 4).
√17 is between √16 (perfect square of 4) and √25 (perfect square of 5).
Therefore, the perfect squares in the range between √11 and √17 are 4 and 9. The irrational numbers between these two perfect squares are 5, 6, 7, 8. So the correct answer is C: four numbers.
How many irrational numbers are there between 11−−√ and 17−−√?
Possible Answers:
a. an infinite number
b. twenty-eight numbers
c. four numbers
d. six numbers
My answer was D, but I think that's too easy.
3 answers
Ah I see, looks like I overlooked it yet again
No worries! It's common to overlook or make mistakes while solving math problems. The key is to learn from those mistakes and keep practicing. If you have any more questions or need further clarification, feel free to ask!