Question

Multiplication of two irrational numbers:

• A. is always a rational
• B. is always an irrational
• C. can be rational or irrational
• D. None of the above

Answer 1

The correct option is C can be rational or irrational

Multiplication of two rational numbers is a rational number, where as multiplication of two irrational number may be a rational or irrational.

For instance, $\sqrt{2}.\sqrt{3}=\sqrt{6}$, which is an irrational number.

But, $\sqrt{2}.\sqrt{8}=\sqrt{16}=4$, which is a rational number; although $\sqrt{2}$ and $\sqrt{8}$ are both irrational.