Expert Mathematics Polynomials Class 10 Level 26

कौन सा विकल्प सही प्रतिउदाहरण है कि दो अपरिमेय संख्याओं का योग हमेशा अपरिमेय नहीं होता?

Which option is a correct counterexample showing that the sum of two irrational numbers is not always irrational?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{8}\) और \(-\sqrt{8}\)\(\sqrt{8}\) and \(-\sqrt{8}\)

Step 1

Concept

(\sqrt{8}+\(-\sqrt{8}\)=0), which is rational. In exams one counterexample is enough to disprove a universal statement.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{8}\) और \(-\sqrt{8}\) / \(\sqrt{8}\) and \(-\sqrt{8}\). (\sqrt{8}+\(-\sqrt{8}\)=0), which is rational. In exams one counterexample is enough to disprove a universal statement.

Step 3

Exam Tip

(\sqrt{8}+\(-\sqrt{8}\)=0), जो परिमेय है। परीक्षा में गलत सार्वत्रिक कथन तोड़ने के लिए एक प्रतिउदाहरण काफी है।

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Mathematics Answer, Explanation and Revision Hints

कौन सा विकल्प सही प्रतिउदाहरण है कि दो अपरिमेय संख्याओं का योग हमेशा अपरिमेय नहीं होता? / Which option is a correct counterexample showing that the sum of two irrational numbers is not always irrational?

Correct Answer: A. \(\sqrt{8}\) और \(-\sqrt{8}\) / \(\sqrt{8}\) and \(-\sqrt{8}\). Explanation: (\sqrt{8}+\(-\sqrt{8}\)=0), जो परिमेय है। परीक्षा में गलत सार्वत्रिक कथन तोड़ने के लिए एक प्रतिउदाहरण काफी है। / (\sqrt{8}+\(-\sqrt{8}\)=0), which is rational. In exams one counterexample is enough to disprove a universal statement.

Which concept should I revise for this Mathematics MCQ?

(\sqrt{8}+\(-\sqrt{8}\)=0), which is rational. In exams one counterexample is enough to disprove a universal statement.

What exam hint can help solve this Mathematics question?

(\sqrt{8}+\(-\sqrt{8}\)=0), जो परिमेय है। परीक्षा में गलत सार्वत्रिक कथन तोड़ने के लिए एक प्रतिउदाहरण काफी है।

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