Expert Mathematics Chapter 1: Real Numbers Class 10 Level 18

\(\sqrt{5}\) के प्रमाण में (a) और (b) दोनों (5) से विभाज्य मिलते हैं। यह किस प्रकार का परिणाम है?

In the proof for \(\sqrt{5}\), both (a) and (b) are found divisible by (5). What type of result is this?

Explanation opens after your attempt
Correct Answer

A. विरोधाभासी परिणामContradictory result

Step 1

Concept

At the beginning, (a) and (b) were assumed coprime.

Step 2

Why this answer is correct

Both being divisible by (5) gives a common factor.

Step 3

Exam Tip

Therefore this is a contradictory result, and the rational assumption is false. चरण 1: शुरुआत में (a) और (b) सहअभाज्य माने गए थे। चरण 2: दोनों का (5) से विभाज्य होना साझा गुणनखंड देता है। चरण 3: इसलिए यह विरोधाभासी परिणाम है और परिमेय मान्यता गलत होती है।

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