Question

3. The product of a rational number and an irrational number is always irrational except

when the rational number is 0.
Explain why

Answer 1

This is because anything multiplied by zero is zero itself.

Explanation:

Ex: Multiply

`2 * √(2)`

Here 2 is rational and root. 2 is irrational.

Their product is

`2 √(2)`

Which is irrational.

But if you have

`0 * √(2)`

Where 0 is rational and root .2 is irrational.

Their product is

`0`

Whis is rational.

Hope this helps... :-)