As we know irrational numbers are of two type-Transcendental & Algebraic. Here we want to find transcendental numbers between any two algebraic numbers & vice versa?
We can explicitly give infinitely many transcendental numbers between any two algebraic numbers:
https://math.stackexchange.com/questions/1690121/is-there-an-easy-enough-way-to-show-that-between-two-algebraic-numbers-there-is
I dont think you distinguish those2 only
By looking at them .
Only from the eq they solve, so its
Very tricky to say.
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