\(\sqrt{3}\) के प्रमाण में यदि (p=3k) रखने के बाद \(q^2=3k^2\) मिलता है तो यह किस निष्कर्ष की ओर ले जाता है?
In the proof of \(\sqrt{3}\), if after taking (p=3k) we get \(q^2=3k^2\), which conclusion does it lead to?
Explanation opens after your attempt
Correct Answer
B. (q) (3) से विभाज्य है(q) is divisible by (3)
Concept
\(q^2\) is divisible by (3) so (q) is also divisible by (3). This contradicts the coprime assumption.
Why this answer is correct
The correct answer is B. (q) (3) से विभाज्य है / (q) is divisible by (3). \(q^2\) is divisible by (3) so (q) is also divisible by (3). This contradicts the coprime assumption.
Exam Tip
\(q^2\) (3) से विभाज्य है इसलिए (q) भी (3) से विभाज्य होगा। यही सहभाज्य मान्यता से विरोधाभास देता है।
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