\(\sqrt{2}\) के प्रमाण में यदि कोई छात्र केवल (a) सम लिखकर प्रमाण समाप्त कर दे, तो त्रुटि क्या है?
In the proof of \(\sqrt{2}\), if a student ends the proof after only writing (a) is even, what is the error?
Explanation opens after your attempt
Correct Answer
A. विरोधाभास के लिए (b) को भी सम सिद्ध करना जरूरी हैTo get contradiction, (b) must also be proved even
Concept
One number being even does not contradict coprime condition. Both being even is necessary.
Why this answer is correct
The correct answer is A. विरोधाभास के लिए (b) को भी सम सिद्ध करना जरूरी है / To get contradiction, (b) must also be proved even. One number being even does not contradict coprime condition. Both being even is necessary.
Exam Tip
एक ही संख्या का सम होना सहभाज्य शर्त से विरोधाभास नहीं देता। दोनों का सम होना जरूरी है।
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