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Which option correctly states a difference between the proofs of (\sqrt{2}) and (\sqrt{3})?कौन सा विकल्प (\sqrt{2}) और (\sqrt{3}) के प्रमाण में सही अंतर बताता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: In (\sqrt{2}), common factor (2) is found, while in (\sqrt{3}), common factor (3) is found(\sqrt{2}) में साझा गुणनखंड (2) मिलता है, जबकि (\sqrt{3}) में साझा गुणनखंड (3) मिलता है
Step 1: In the proof of (\sqrt{2}), (p^2=2q^2) appears, so (2) is key. Step 2: In the proof of (\sqrt{3}), (p^2=3q^2) appears, so (3) is key. Step 3: The number under the root becomes the proof factor.चरण 1: (\sqrt{2}) के प्रमाण में (p^2=2q^2) आता है, इसलिए (2) मुख्य है। चरण 2: (\sqrt{3}) के प्रमाण में (p^2=3q^2) आता है, इसलिए (3) मुख्य है। चरण 3: मूल के अंदर की संख्या प्रमाण का गुणनखंड बनती है।
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