Question

Fill in the blank using rational/irrational/either rational or irrational.

The product of a rational and an irrational number is ______.

Answer 1

The product of a rational and an irrational number is irrational.

Explanation:

If the rational number is 0, the product is 0 (rational).

Example: `0 xx sqrt(2) = 0`

If the rational number is non-zero, the product is irrational.

Example: `2 xx sqrt(3) = 2sqrt(3)`  ...(irrational)