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If (5-\sqrt{6}) is assumed rational then which false conclusion follows?यदि (5-\sqrt{6}) को परिमेय माना जाए तो कौन सा गलत निष्कर्ष निकलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\sqrt{6}) is rational(\sqrt{6}) परिमेय है
Step 1: Suppose (5-\sqrt{6}) is rational. Step 2: Then (\sqrt{6}=5-) that rational number so (\sqrt{6}) would be rational. Step 3: In contradiction proofs identify the result that clashes with a known fact.चरण 1: मान लें (5-\sqrt{6}) परिमेय है। चरण 2: तब (\sqrt{6}=5-) वह परिमेय संख्या होगा इसलिए (\sqrt{6}) परिमेय मिल जाएगा। चरण 3: विरोधाभास विधि में उस निष्कर्ष को पकड़ें जो ज्ञात तथ्य से टकराता है।
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