MP Board · Class 10 · Mathematics · Real NumbersThe product of a non-zero rational and an irrational number is always:
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Total Attempts: 19
Accuracy Rate: 47.4%
Step-by-Step Solution
The correct answer is B (An irrational number).
Explanation:\nBy fundamental theorems of real numbers, the product of any non-zero rational number and an irrational number is always an irrational number. For example, $2 \times \sqrt{3} = 2\sqrt{3}$ (irrational).
Detailed Options Breakdown
Option : A rational number
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: An irrational number (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Whole number
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: Natural number
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.