Question

Prove that the reciprocal of an irrational number is also irrational

Answer 1

the irrational number means the the number which is not a 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