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In the proof of (\sqrt{2}), if (c=2u) and (d=2v) are obtained, which form is possible for (\frac{c}{d})?(\sqrt{2}) के प्रमाण में यदि (c=2u) और (d=2v) मिल जाएँ, तो (\frac{c}{d}) के लिए कौन-सा रूप संभव है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{c}{d}=\frac{u}{v})(\frac{c}{d}=\frac{u}{v})
If both have common factor (2), the fraction reduces to (\frac{u}{v}). So the old form was not lowest.दोनों में (2) सामान्य होने पर भिन्न घटकर (\frac{u}{v}) बनती है। इसलिए पुराना रूप सरलतम नहीं था।
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