Medium Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{5}\) को अपरिमेय सिद्ध करने में कौन सा कथन सही है?

Which statement is correct in proving \(\sqrt{5}\) irrational?

Explanation opens after your attempt
Correct Answer

A. यदि \(p^2\) (5) से विभाज्य है, तो (p) (5) से विभाज्य हैIf \(p^2\) is divisible by (5), then (p) is divisible by (5)

Step 1

Concept

(5) is a prime number.

Step 2

Why this answer is correct

If a prime divides a square, it also divides the original number.

Step 3

Exam Tip

This rule is applied to (p) in the proof of \(\sqrt{5}\). चरण 1: (5) अभाज्य संख्या है। चरण 2: अभाज्य संख्या यदि किसी वर्ग को विभाजित करे, तो मूल संख्या को भी विभाजित करती है। चरण 3: यह नियम \(\sqrt{5}\) के प्रमाण में (p) पर लगाया जाता है।

FAQs

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. यदि \(p^2\) (5) से विभाज्य है, तो (p) (5) से विभाज्य है / If \(p^2\) is divisible by (5), then (p) is divisible by (5).

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