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In the proof of (\sqrt{2}), both (p) and (q) being even makes which statement false?(\sqrt{2}) की सिद्धि में (p) और (q) दोनों सम मिलना किस कथन को असत्य बनाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p) and (q) are coprime(p) और (q) सहअभाज्य हैं
Step 1: If both are even, both have common factor (2). Step 2: Coprime numbers should not have any common factor other than (1). Step 3: So the statement that they are coprime becomes false.चरण 1: दोनों सम होने पर दोनों में (2) साझा गुणनखंड होगा। चरण 2: सहअभाज्य संख्याओं में (1) के अलावा कोई साझा गुणनखंड नहीं होना चाहिए। चरण 3: इसलिए सहअभाज्य होने की बात असत्य हो जाती है।
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