यदि (p) और (q) शून्येतर परिमेय संख्याएं हैं और \(p+q\sqrt{3}=0\), तो कौन सा निष्कर्ष सही है?
If (p) and (q) are non-zero rational numbers and \(p+q\sqrt{3}=0\), which conclusion is correct?
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{3}=-\frac{p}{q}\) होगा जो असंभव है\(\sqrt{3}=-\frac{p}{q}\) would be true which is impossible
Concept
\(-\frac{p}{q}\) is rational so it would make \(\sqrt{3}\) rational which is false. In exams recognize the contradiction method.
Why this answer is correct
The correct answer is A. \(\sqrt{3}=-\frac{p}{q}\) होगा जो असंभव है / \(\sqrt{3}=-\frac{p}{q}\) would be true which is impossible. \(-\frac{p}{q}\) is rational so it would make \(\sqrt{3}\) rational which is false. In exams recognize the contradiction method.
Exam Tip
\(-\frac{p}{q}\) परिमेय है इसलिए इससे \(\sqrt{3}\) परिमेय हो जाएगा जो गलत है। परीक्षा में विरोधाभास विधि पहचानें।
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