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Which option is the correct correction of the wrong argument that (\sqrt{5}) is rational?कौन सा विकल्प (\sqrt{5}) को परिमेय बताने वाले गलत तर्क का सही सुधार 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 it is not a perfect square. Step 2: The square root of a non-perfect square need not be rational. Step 3: The proof of (\sqrt{5}) shows it is irrational.चरण 1: (5) परिमेय है, लेकिन पूर्ण वर्ग नहीं है। चरण 2: अपूर्ण वर्ग का वर्गमूल परिमेय होना जरूरी नहीं। चरण 3: (\sqrt{5}) की सिद्धि दिखाती है कि यह अपरिमेय है।
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