Question

The multiplication of two irrational numbers is always an irrational number.

• A. True
• B. False

Answer 1

The correct option is B

False

We know that, $\sqrt{3}$$\times$ $\sqrt{2}$ = $\sqrt{6}$ is an irrational number. But, if we have, $\sqrt{3}$$\times$$\sqrt{3}$ = 3, which is a rational number. So the statement given in the question is false. The product of two irrational numbers is not an irrational number always.