CBSE · Class 9 · Mathematics · Number SystemsThe product of a rational and an irrational number is always:
Step-by-Step Solution
The product of a non-zero rational number and an irrational number is always an irrational number. For example, $2 \times \sqrt{3} = 2\sqrt{3}$, which is irrational.
Detailed Options Breakdown
Option : A rational number
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 1: An irrational number (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Zero
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 3: An integer
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
💡 Study Guide: This question tests core syllabus concepts from Number Systems. For formulas, key summaries, and mock exam reference guides, read the full Number Systems Revision Notes.