How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
six numbers
six numbers
an infinite number
an infinite number
twenty-eight numbers
twenty-eight numbers
four numbers
There are no specific numbers between √11 and √17 that can be determined with just the information given. However, we can deduce that there is an infinite number of irrational numbers between them.
To determine the number of irrational numbers between √11 and √17, we need to first find the irrational numbers themselves and then count them.
Let's calculate the square root of 11 and the square root of 17:
√11 ≈ 3.31662479036
√17 ≈ 4.12310562562
So, the numbers between √11 and √17 are approximately:
3.31662479036 < x < 4.12310562562
Since irrational numbers are infinitely dense, there are an infinite number of irrational numbers between any two numbers. Therefore, the correct answer is "an infinite number."