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Which statement corrects the wrong argument that (\sqrt{5}) is rational?कौन सा कथन (\sqrt{5}) को परिमेय बताने वाले गलत तर्क को सुधारता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (5) is rational, but its square root need not be rational(5) परिमेय है, पर उसका वर्गमूल परिमेय होना जरूरी नहीं
Step 1: (5) is rational but not a perfect square. Step 2: Since it is not a perfect square, (\sqrt{5}) is not rational. Step 3: Check a number and its square root separately.चरण 1: (5) परिमेय संख्या है लेकिन पूर्ण वर्ग नहीं है। चरण 2: पूर्ण वर्ग न होने के कारण (\sqrt{5}) परिमेय नहीं होता। चरण 3: संख्या और उसके वर्गमूल के प्रकार को अलग-अलग जांचें।
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