Hard Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{3}\) की सिद्धि में कौन सा कथन सही है पर अंतिम निष्कर्ष नहीं है?

In the proof of \(\sqrt{3}\), which statement is correct but not the final conclusion?

Explanation opens after your attempt
Correct Answer

A. (p) (3) से विभाज्य है(p) is divisible by (3)

Step 1

Concept

From \(p^2=3q^2\), (p) is proved divisible by (3).

Step 2

Why this answer is correct

But to complete the proof, (q) must also be shown divisible by (3).

Step 3

Exam Tip

Only then does contradiction arise with the coprime condition. चरण 1: \(p^2=3q^2\) से (p) (3) से विभाज्य सिद्ध होता है। चरण 2: पर प्रमाण पूरा करने के लिए (q) भी (3) से विभाज्य दिखाना होगा। चरण 3: तभी सहअभाज्य शर्त से विरोधाभास बनेगा।

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The correct answer is A. (p) (3) से विभाज्य है / (p) is divisible by (3).

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