Ryiaz claims it is impossible to prove that a rational number multiplied by an irrational number gives an irrational product. How can you prove this?(1 point) Responses by using a proof by contradiction to show multiplication is a closed operation for rational numbers by using a proof by contradiction to show multiplication is a closed operation for rational numbers by creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer by creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer by choosing random numbers to plug into multiplication problems until he’s convinced by choosing random numbers to plug into multiplication problems until he’s convinced He’s correct; it is impossible to prove in any way.

Question

what is correct select the 100% correct option

Answer 1

The correct option is:

by creating a proof that shows directly how multiplying a rational and an irrational number leads to an irrational answer.

This method provides a direct demonstration of the concept in question, which is the most effective way to show that the product of a rational number and an irrational number is indeed irrational.