Question

The product of two irrational numbers is. Rational

Answer 1

Answer:

So the statement:

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

Step-by-step explanation:

The product of two irrationals can be irrational or rational.

Example:

$\sqrt{2} \cdot \sqrt{2}=2$

$\sqrt{2}$ is irrational but when you multiply it to itself the output is rational.

Example:

$\sqrt{2} \cdot \sqrt{3}=\sqrt{6}$

$\sqrt{2} \text{ and } \sqrt{3}$ are irrational and when you multiply them you get an irrational answer of $\sqrt{6}$.

So the statement:

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