Easy Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{3}\) की सिद्धि में यदि (a) और (b) दोनों (3) से विभाज्य मिलें, तो कौन सी बात टूटती है?

In the proof of \(\sqrt{3}\), if both (a) and (b) are found divisible by (3), which condition is broken?

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Correct Answer

A. सहअभाज्य होने की शर्तThe condition of being coprime

Step 1

Concept

Coprime numbers have no common factor except (1).

Step 2

Why this answer is correct

If both (a) and (b) are divisible by (3), they have common factor (3).

Step 3

Exam Tip

This is the contradiction in the proof. चरण 1: सहअभाज्य संख्याओं में (1) के अलावा साझा गुणनखंड नहीं होता। चरण 2: (a) और (b) दोनों (3) से विभाज्य हों तो साझा गुणनखंड (3) है। चरण 3: यही प्रमाण का विरोधाभास है।

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