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A student says (\sqrt{5}) is rational because (5) is rational. What is the correct correction?एक विद्यार्थी कहता है कि (\sqrt{5}) परिमेय है क्योंकि (5) परिमेय है। सही सुधार क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The square root of a rational number is not always rationalपरिमेय संख्या का वर्गमूल हमेशा परिमेय नहीं होता
Step 1: (5) is rational but not a perfect square. Step 2: The square root of a non-perfect square need not be rational, and (\sqrt{5}) is irrational. Step 3: Check a number and its square root separately.चरण 1: (5) परिमेय है लेकिन पूर्ण वर्ग नहीं है। चरण 2: अपूर्ण वर्ग का वर्गमूल परिमेय होना जरूरी नहीं और (\sqrt{5}) अपरिमेय है। चरण 3: संख्या और उसके वर्गमूल का प्रकार अलग-अलग जांचें।
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