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

Answer:

This is because anything multiplied by zero is zero itself.

Step-by-step explanation:

Ex: Multiply

$2 \times \sqrt{2}$

Here 2 is rational and root. 2 is irrational.

Their product is

$2 \sqrt{2}$

Which is irrational.

But if you have

$0 \times \sqrt{2}$

Where 0 is rational and root .2 is irrational.

Their product is

$0$

Whis is rational.

Hope this helps... :-)