How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
an infinite number
an infinite number
four numbers
There are an infinite number of irrational numbers between √11 and √17.
To determine the number of irrational numbers between 11−−√ and 17−−√, we need to consider that irrational numbers are numbers that cannot be expressed as a fraction.
Since we are given the two square roots, we can find the whole numbers that fall between the given range by taking the ceiling and floor values.
The ceiling value of 11−−√ is 4, and the floor value of 17−−√ is 4.
Therefore, there are (4+1) - 1 = 4 whole numbers between 11−−√ and 17−−√.
However, since irrational numbers are infinitely dense between whole numbers, there are an infinite number of irrational numbers between 11−−√ and 17−−√.
So the correct answer is: an infinite number.