Here's a way to solve this . . .1. Is there an irrational number between and ?
We have: .
We can let equal any number in that interval.
The simplest is: .
By my method, we have: .2. Is there an irrational number between ?
How about 9/2 root of two? . . . . . Yes!
Raise to the 20th power: .
And we can use: .