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While writing the proof for (\sqrt{2}), if someone assumes (\sqrt{2}=\frac{p}{q}) but does not mention lowest form, what problem occurs?(\sqrt{2}) का प्रमाण लिखते समय यदि कोई (\sqrt{2}=\frac{p}{q}) मानता है पर सरलतम रूप नहीं लिखता, तो क्या समस्या होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Finding a common factor will not become a decisive contradictionसाझा गुणनखंड मिलना निर्णायक विरोधाभास नहीं बनेगा
Step 1: The contradiction depends on (p) and (q) being coprime. Step 2: Without stating lowest form, both being even is not a decisive contradiction. Step 3: Therefore mention lowest form at the start.चरण 1: विरोधाभास इस बात पर निर्भर करता है कि (p) और (q) सहअभाज्य हैं। चरण 2: सरलतम रूप न लिखने पर दोनों सम मिलना जरूरी विरोधाभास नहीं कहलाएगा। चरण 3: इसलिए शुरू में सरलतम रूप अवश्य लिखें।
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