Question

What can you say about the product of a non-zero rational and irrational number?

Answer 1

The product of a non zero rational and irrational number is always an irratonal number.

For example:-

$2\times \sqrt{2}=2\sqrt{2}$

Here, $2$ is a non-zero rational number and $\sqrt{2}$ is an irrational number but the product is an irrational number.