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For the relation on real numbers where (a-b) is rational, which element is definitely in the same equivalence class as (\sqrt{2})?वास्तविक संख्याओं पर (a-b) परिमेय होने वाले संबंध में (\sqrt{2}) के साथ कौन सा तत्व निश्चित रूप से उसी तुल्यता वर्ग में है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\sqrt{2}+3)(\sqrt{2}+3)
Step 1: The difference between (\sqrt{2}+3) and (\sqrt{2}) is (3). Step 2: Since (3) is rational, they are in the same class. Step 3: In such questions, subtract from the given representative.चरण 1: (\sqrt{2}) और (\sqrt{2}+3) का अंतर (3) है। चरण 2: (3) परिमेय संख्या है, इसलिए दोनों एक ही वर्ग में हैं। चरण 3: ऐसे प्रश्नों में चुने हुए तत्व से अंतर निकालकर देखें।
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