Hard Mathematics Chapter 1: Real Numbers Class 10 Level 18

कौन-सा कथन \(\sqrt{2}\) के लिए सही और \(\sqrt{3}\) के सामान्य प्रमाण के लिए सीधे सही नहीं है?

Which statement is correct for \(\sqrt{2}\) but not directly correct for the usual proof of \(\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. अंश और हर दोनों सम निकलते हैंNumerator and denominator both become even

Step 1

Concept

For \(\sqrt{2}\), the common factor is (2), so numerator and denominator become even.

Step 2

Why this answer is correct

For \(\sqrt{3}\), the common factor is (3), so evenness is not the direct point.

Step 3

Exam Tip

Identify the related prime for each root. चरण 1: \(\sqrt{2}\) में साझा गुणनखंड (2) आता है, इसलिए अंश और हर सम होते हैं। चरण 2: \(\sqrt{3}\) में साझा गुणनखंड (3) आता है, समपन जरूरी नहीं। चरण 3: अलग-अलग मूलों में संबंधित अभाज्य को पहचानें।

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The correct answer is A. अंश और हर दोनों सम निकलते हैं / Numerator and denominator both become even.

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