Question

Product of a non-zero rational number and an irrational number is always _______.

• A. irrational
• B. rational
• C. one
• D. zero

Answer 1

The correct option is A

irrational

The product of a rational and irrational number can be both rational or irrational.
The product of a non-zero rational number and an irrational number is always an irrational number.
For example, $2\times \sqrt{2}=2\sqrt{2}$,
But, the product of zero and an irrational number is always zero.
For example, $0\times \sqrt{2}=0$ which is rational.