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Question Medium Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

यदि (p) और (q) सहअभाज्य हैं, तो कौन सी बात असंभव है?

If (p) and (q) are coprime, which situation is impossible?

Explanation opens after your attempt
Correct Answer

A. दोनों में (1) के अलावा कोई साझा गुणनखंड होनाHaving a common factor other than (1)

Step 1

Concept

Coprime numbers are defined as having only (1) as common factor.

Step 2

Why this answer is correct

Finding any common factor other than (1) is impossible.

Step 3

Exam Tip

Irrationality proofs show exactly this impossible situation. चरण 1: सहअभाज्य संख्याओं की परिभाषा है कि उनका साझा गुणनखंड केवल (1) हो। चरण 2: (1) के अलावा कोई साझा गुणनखंड मिलना असंभव है। चरण 3: अपरिमेयता की सिद्धि इसी असंभव स्थिति को दिखाती है।

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