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lowest form contradiction MCQ Questions for Class 10

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Question 1/1 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

\(\sqrt{5}\) के प्रमाण में यदि \(\frac{p}{q}\) सरलतम रूप में है, तो (p=5k) और (q=5r) मिलने पर कौन सा कथन सही है?

In the proof of \(\sqrt{5}\), if \(\frac{p}{q}\) is in lowest form, which statement is correct when (p=5k) and (q=5r) are obtained?

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Correct Answer

A. यह परिणाम असंभव है क्योंकि भिन्न घट सकती हैThis result is impossible because the fraction can be reduced

Step 1

Concept

(p=5k) and (q=5r) mean both have common factor (5).

Step 2

Why this answer is correct

Such a fraction can be reduced by (5).

Step 3

Exam Tip

Hence this is an impossible result for the lowest-form assumption. चरण 1: (p=5k) और (q=5r) का अर्थ है कि दोनों में (5) साझा है। चरण 2: ऐसी भिन्न को (5) से घटाया जा सकता है। चरण 3: इसलिए यह सरलतम रूप की मान्यता के लिए असंभव परिणाम है।

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