यदि कोई छात्र \(\sqrt{2}=\frac{a}{b}\) लिखकर (a) और (b) को पहले से सम मान लेता है तो गलती क्या है?
If a student writes \(\sqrt{2}=\frac{a}{b}\) and assumes (a) and (b) even from the start, what is the mistake?
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Correct Answer
A. सरलतम रूप में उन्हें सहभाज्य मानना चाहिएThey should be assumed coprime in lowest form
Concept
At the start the fraction is in lowest form so (a) and (b) are assumed coprime. Both even is the final contradiction.
Why this answer is correct
The correct answer is A. सरलतम रूप में उन्हें सहभाज्य मानना चाहिए / They should be assumed coprime in lowest form. At the start the fraction is in lowest form so (a) and (b) are assumed coprime. Both even is the final contradiction.
Exam Tip
शुरुआत में भिन्न सरलतम रूप में होती है इसलिए (a) और (b) सहभाज्य माने जाते हैं। दोनों सम होना अंत का विरोधाभास है।
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