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A student writes (\sqrt{3}=\frac{p}{q}), so (3=\frac{p}{q}). What is the mistake?एक विद्यार्थी ने लिखा (\sqrt{3}=\frac{p}{q}), इसलिए (3=\frac{p}{q})। गलती क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Both sides were not squaredदोनों ओर वर्ग नहीं किया गया
Step 1: To get (3) from (\sqrt{3}), both sides must be squared. Step 2: The correct form is (3=\frac{p^2}{q^2}), not (3=\frac{p}{q}). Step 3: Always square both sides to remove a square root.चरण 1: (\sqrt{3}) से (3) पाने के लिए दोनों ओर वर्ग करना होता है। चरण 2: सही रूप (3=\frac{p^2}{q^2}) होगा, (3=\frac{p}{q}) नहीं। चरण 3: वर्गमूल हटाते समय दोनों ओर वर्ग अवश्य करें।
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