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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

यदि परिमेय मान्यता से विरोधाभास मिल जाए, तो मूल कथन के बारे में क्या निष्कर्ष होगा?

If the rational assumption leads to a contradiction, what is the conclusion about the original statement?

Explanation opens after your attempt
Correct Answer

A. मूल कथन सही हैThe original statement is true

Step 1

Concept

In contradiction, we work with the opposite assumption.

Step 2

Why this answer is correct

If that assumption becomes impossible, the original statement is true.

Step 3

Exam Tip

So when rationality fails, irrationality is proved. चरण 1: विरोधाभास विधि में उलटी मान्यता लेकर चलते हैं। चरण 2: यदि वह मान्यता असंभव निकले, तो मूल कथन सही होता है। चरण 3: इसलिए परिमेय मान्यता टूटने पर अपरिमेयता सिद्ध होती है।

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