Expert Mathematics Chapter 1: Real Numbers Class 10 Level 18

यदि \(\sqrt{2}\) परिमेय मानी जाए और अंत में (p,q) दोनों सम निकलें, तो कौन-सा निष्कर्ष तार्किक है?

If \(\sqrt{2}\) is assumed rational and finally both (p,q) turn out even, which conclusion is logical?

Explanation opens after your attempt
Correct Answer

B. मान्यता गलत हैThe assumption is false

Step 1

Concept

(p,q) were assumed coprime in lowest form.

Step 2

Why this answer is correct

Both being even makes (2) a common factor.

Step 3

Exam Tip

Therefore the rational assumption is proved false. चरण 1: (p,q) को सरलतम रूप में सहअभाज्य माना गया था। चरण 2: दोनों सम होने पर (2) साझा गुणनखंड बनता है। चरण 3: इसलिए परिमेय मान्यता गलत सिद्ध होती है।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. मान्यता गलत है / The assumption is false.

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