How many irrational numbers are there between 11−−√
and 17−−√
(1 point)
Responses
six numbers
twenty-eight numbers
four numbers
an infinite number
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 the properties of irrational numbers.
By definition, irrational numbers are numbers that cannot be expressed as a ratio of two integers, meaning they cannot be written as a fraction in the form a/b, where a and b are integers with b ≠ 0.
Between any two real numbers, there are infinitely many real numbers, including both rational and irrational numbers.
Therefore, the correct answer is: "an infinite number" of irrational numbers.