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On real numbers, (aRb) iff (a-b\in\mathbb{Q}). Which class is equal to ([\sqrt{2}])?वास्तविक संख्याओं पर (aRb) तभी जब (a-b\in\mathbb{Q})। नीचे में कौन सा वर्ग ([\sqrt{2}]) के बराबर है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([\sqrt{2}+3])([\sqrt{2}+3])
Step 1: Two classes are equal when the difference of their representatives is rational. Step 2: ((\sqrt{2}+3)-\sqrt{2}=3), which is rational. Step 3: Therefore ([\sqrt{2}+3]=[\sqrt{2}]).चरण 1: दो वर्ग समान होंगे जब उनके प्रतिनिधियों का अंतर परिमेय हो। चरण 2: ((\sqrt{2}+3)-\sqrt{2}=3), जो परिमेय है। चरण 3: इसलिए ([\sqrt{2}+3]=[\sqrt{2}]) है।
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