Question

The product of a rational number and an irrational number is:

• A. A rational number
• B. An irrational number
• C. A natural number
• D. None of these

Hint:

Multiplying a rational number (except zero) with an irrational number always gives an irrational result.

Answer 1

The Correct Option is B

Let \( r \) be a rational number and \( i \) be an irrational number. If \( r \neq 0 \), then \( r \times i \) is still irrational. For example: \[ 2 \times \sqrt{3} = 2\sqrt{3}, \text{ which is irrational}. \] Thus, the product is an irrational number.