यदि कोई छात्र \(\sqrt{3}=\frac{p}{q}\) लिखते ही (p) और (q) दोनों को (3) से विभाज्य मानता है तो क्या गलती है?
If a student assumes both (p) and (q) divisible by (3) immediately after writing \(\sqrt{3}=\frac{p}{q}\), what is the mistake?
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Correct Answer
B. शुरुआत में (p) और (q) सहभाज्य माने जाते हैंAt the start (p) and (q) are assumed coprime
Concept
At the start \(\frac{p}{q}\) is in lowest form. Both divisible by (3) is derived later as a contradiction.
Why this answer is correct
The correct answer is B. शुरुआत में (p) और (q) सहभाज्य माने जाते हैं / At the start (p) and (q) are assumed coprime. At the start \(\frac{p}{q}\) is in lowest form. Both divisible by (3) is derived later as a contradiction.
Exam Tip
शुरुआत में \(\frac{p}{q}\) सरलतम रूप में होता है। दोनों का (3) से विभाज्य होना बाद में विरोधाभास के रूप में निकलता है।
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