Easy Mathematics Chapter 1: Real Numbers Class 10 Level 18

कौन सा विकल्प \(\sqrt{2}\) के प्रमाण का सही क्रम बताता है?

Which option gives the correct order of the proof of \(\sqrt{2}\)?

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Correct Answer

A. परिमेय मानना, वर्ग करना, दोनों सम मिलना, विरोधाभासAssume rational, square, find both even, contradiction

Step 1

Concept

First assume \(\sqrt{2}\) is rational.

Step 2

Why this answer is correct

After squaring, both (p) and (q) are found even.

Step 3

Exam Tip

Both being even contradicts the coprime condition. चरण 1: पहले \(\sqrt{2}\) को परिमेय मानते हैं। चरण 2: वर्ग करने के बाद (p) और (q) दोनों सम मिलते हैं। चरण 3: दोनों सम होना सहअभाज्य शर्त से विरोधाभास देता है।

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The correct answer is A. परिमेय मानना, वर्ग करना, दोनों सम मिलना, विरोधाभास / Assume rational, square, find both even, contradiction.

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