How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
There are infinitely many irrational numbers between √11 and √17. We can prove this by contradiction. Suppose there are only a finite number of irrational numbers between √11 and √17. But we could always find a smaller number between any two of the irrational numbers, which contradicts our assumption. Therefore, there must be infinitely many irrational numbers between √11 and √17.
To find out how many irrational numbers are between √11 and √17, we need to identify the irrational numbers within this range.
The irrational numbers are the real numbers that cannot be expressed as the quotient of two integers or as a repeating or terminating decimal.
Since both √11 and √17 are irrational numbers, there are infinite irrational numbers between them.
Therefore, we cannot provide a specific number but we can conclude that there are infinitely many irrational numbers between √11 and √17.