Easy Mathematics Chapter 1: Real Numbers Class 10 Level 18

परीक्षा में अपरिमेयता सिद्धि लिखते समय अंतिम पंक्ति में क्या स्पष्ट लिखना चाहिए?

In an exam, what should be clearly written in the last line of an irrationality proof?

Explanation opens after your attempt
Correct Answer

A. मान्यता से विरोधाभास आया, इसलिए दी गई संख्या अपरिमेय हैThe assumption led to a contradiction, so the given number is irrational

Step 1

Concept

The proof starts with the rational assumption.

Step 2

Why this answer is correct

At the end, that assumption contradicts the coprime condition.

Step 3

Exam Tip

In the last line, clearly write both the contradiction and irrationality. चरण 1: प्रमाण में परिमेय मान्यता से शुरुआत होती है। चरण 2: अंत में वह मान्यता सहअभाज्य शर्त से टकराती है। चरण 3: अंतिम पंक्ति में विरोधाभास और अपरिमेयता दोनों साफ लिखें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. मान्यता से विरोधाभास आया, इसलिए दी गई संख्या अपरिमेय है / The assumption led to a contradiction, so the given number is irrational.

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