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

Answer: (D)

Can be rational or irrational

The product of two irrational numbers can be rational or irrational depending on the two numbers.

For example, $\sqrt{2}\times \sqrt{2}$ is $2$, which is a rational number whereas $\sqrt{2}\times \sqrt{3}$ is $\sqrt{6}$, which is an irrational number.
Hence, option $D.$