How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
1 answer
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.