Question

The product of any two irrational numbers

• A. is always an irrational number
• B. is always a rational number
• C. is always an integer
• D. can be rational or irrational

Answer 1

The correct option is D can be rational or irrational

The product of any two irrational numbers can be rational or irrational number.

Example: $\sqrt{2}\times \sqrt{2}=2$, here 2 is a rational number.

$\sqrt{3}\times \sqrt{2}=\sqrt{6}$, here $\sqrt{6}$ is an irrational number.