Question

The product of two irrational numbers is. Rational

Answer 1

So the statement:

"The product of two irrational numbers is rational." is false.

Explanation:

The product of two irrationals can be irrational or rational.

Example:

`√(2) \cdot √(2)=2`

`√(2)` is irrational but when you multiply it to itself the output is rational.

Example:

`√(2) \cdot √(3)=√(6)`

`√(2) \text{ and } √(3)` are irrational and when you multiply them you get an irrational answer of
`√(6)`.

So the statement:

"The product of two irrational numbers is rational." is false.