Easy Mathematics Chapter 1: Real Numbers Class 10 Level 16

यदि (p) और (q) दोनों (5) से विभाज्य हों, तो क्या निष्कर्ष निकलेगा?

If (p) and (q) are both divisible by (5), what conclusion follows?

Explanation opens after your attempt
Correct Answer

A. वे सहअभाज्य नहीं हैंThey are not coprime

Step 1

Concept

If both are divisible by (5), then (5) is a common factor.

Step 2

Why this answer is correct

Coprime numbers cannot have such a common factor.

Step 3

Exam Tip

This creates the contradiction in the proof of \(\sqrt{5}\). चरण 1: दोनों (5) से विभाज्य हैं तो (5) साझा गुणनखंड है। चरण 2: सहअभाज्य संख्याओं में ऐसा साझा गुणनखंड नहीं हो सकता। चरण 3: \(\sqrt{5}\) के प्रमाण में यही विरोधाभास बनता है।

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The correct answer is A. वे सहअभाज्य नहीं हैं / They are not coprime.

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