Prove the following statement by proving its contrapositive: if

manierato5h

manierato5h

Answered question

2022-06-09

Prove the following statement by proving its contrapositive: if r is irrational, then r 1 5 is irrational.

Answer & Explanation

Schetterai

Schetterai

Beginner2022-06-10Added 25 answers

If r 1 / 5 is rational, then there exist p , q Z with q 0 so that r 1 / 5 = p q . Therefore r = p 5 q 5 is a rational number since Q is closed under product.

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?