Question

Find two irrational number between 2017a nd2018

Answer 1

The square root of 4068289 is 2017 (exactly), and the square root of 4072324 is 2018. So the square root of any integer n such that 4068289 < n < 4072324 is between 2017 and 2018, and all of these square roots are irrational. That gives you 4034 irrational numbers between 2017 and 2018.

SQRT(4068290) = 2017.000024789…

SQRT(4068291) = 2017.000049579…

etc.