Question

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

Answer 1

To determine the number of irrational numbers between √11 and √17, we need to consider the integers between the two square roots. Taking the ceiling value of √11 and the floor value of √17, we find that there are 4 integers between them (4,5,6,7).

Since irrational numbers are densely populated between any two consecutive integers, we can conclude that there are infinitely many irrational numbers between √11 and √17.

So, there is no finite number of irrational numbers between √11 and √17. The answer is 0.