Is irrational times rational always irrational?

protestommb

protestommb

Answered question

2022-06-24

Is irrational times rational always irrational?

Answer & Explanation

pyphekam

pyphekam

Beginner2022-06-25Added 27 answers

Any nonzero rational number times an irrational number is irrational. Let r be nonzero and rational and x be irrational. If r x = q and q is rational, then x = q / r, which is rational. This is a contradiction.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?