Explain why the sum of a rational number and an irrational number is always irrational.

Question

asked Feb 13, 2021 205k views

1 Answer

Adam Marczak · Answer 1 · 2021-02-19T08:15:53+0000

Answer:

Irrational numbers are contradictory, even when combined with a rational number.

Explanation:

Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.