Question

Prove that reciprocal of an irrational number is irrational

Answer 1

Answer:

4/5=5/4 is

reciprocal of rational number

Answer 2

The reciprocal of any irrational number is irrational.

Then 1/x = a/b where a and b are integers, a ≠ 0 (since 0 is a rational number) and b ≠ 0. x = 1/1/x = 1/a/b = b/a where b and a are integers and a ≠ 0.