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If (\sqrt{3}=\frac{p}{q}), which equation is obtained after squaring?यदि (\sqrt{3}=\frac{p}{q}), तो वर्ग करने पर कौन सा समीकरण मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p^2=3q^2)(p^2=3q^2)
Step 1: Squaring both sides gives (3=\frac{p^2}{q^2}). Step 2: Clearing the denominator gives (p^2=3q^2). Step 3: In the proof of (\sqrt{3}), the factor (3) plays the main role.चरण 1: दोनों ओर वर्ग करने से (3=\frac{p^2}{q^2}) मिलता है। चरण 2: हर हटाने पर (p^2=3q^2) मिलता है। चरण 3: (\sqrt{3}) के प्रमाण में (3) का गुणनखंड मुख्य भूमिका निभाता है।
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