How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
twenty-eight numbers
twenty-eight numbers
four numbers
four numbers
six numbers
six numbers
an infinite number
an infinite number
There are four numbers between √11 and √17.
To find the number of irrational numbers between √11 and √17, we need to find the irrational numbers within that range.
First, let's subtract the two square roots:
√17 - √11
Simplifying this expression, we get:
√17 - √11 = √(17) - √(11)
The difference of two square roots, where the numbers being square rooted are different, is typically an irrational number. Therefore, between √11 and √17, there are an infinite number of irrational numbers.
So, the correct answer is: an infinite number.