Expert Mathematics Chapter 1: Real Numbers Class 10 Level 16

कौन-सा कथन \(\sqrt{2}\) की अपरिमेयता सिद्ध करने के लिए पर्याप्त तर्क का हिस्सा नहीं है?

Which statement is not part of a sufficient argument for proving \(\sqrt{2}\) irrational?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\) का दशमलव लगभग (1.414) हैThe decimal of \(\sqrt{2}\) is approximately (1.414)

Step 1

Concept

A short decimal approximation does not prove irrationality.

Step 2

Why this answer is correct

A solid proof assumes rationality and derives a contradiction.

Step 3

Exam Tip

In exams, write logical proof instead of approximation. चरण 1: दशमलव का छोटा अनुमान अपरिमेयता सिद्ध नहीं करता। चरण 2: ठोस प्रमाण में परिमेय मानकर विरोधाभास निकाला जाता है। चरण 3: परीक्षा में अनुमान की जगह तार्किक प्रमाण लिखें।

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The correct answer is A. \(\sqrt{2}\) का दशमलव लगभग (1.414) है / The decimal of \(\sqrt{2}\) is approximately (1.414).

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