Easy Mathematics Chapter 1: Real Numbers Class 10 Level 17

यदि \(\sqrt{3}\) परिमेय मानने से (a) और (b) दोनों (3) से विभाज्य मिलते हैं, तो सही निष्कर्ष क्या है?

If assuming \(\sqrt{3}\) rational makes both (a) and (b) divisible by (3), what is the correct conclusion?

Explanation opens after your attempt
Correct Answer

A. आरंभिक मान्यता गलत हैThe initial assumption is false

Step 1

Concept

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

Step 2

Why this answer is correct

Finding both divisible by (3) contradicts this.

Step 3

Exam Tip

Therefore assuming \(\sqrt{3}\) rational is false. चरण 1: शुरुआत में (a) और (b) सहअभाज्य माने गए थे। चरण 2: दोनों (3) से विभाज्य मिलना इस बात के विपरीत है। चरण 3: इसलिए \(\sqrt{3}\) को परिमेय मानना गलत है।

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The correct answer is A. आरंभिक मान्यता गलत है / The initial assumption is false.

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