Question

Which of the following is always irrational?

• A. A product of 2 irrational numbers
• B. The product of a non-zero rational and irrational number.
• C. The sum of 2 irrational numbers
• D. The difference between 2 irrational numbers.

Answer 1

The correct option is B

The product of a non-zero rational and irrational number.

The product of a non-zero rational and irrational number.

e.g. $2\times \frac{\sqrt{3}}{2}=\sqrt{3}$ which is irrational