Expert Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{5}\) के प्रमाण में कौन-सा कथन (5) के अभाज्य होने का सही उपयोग है?

Which statement correctly uses the primality of (5) in the proof for \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. यदि \(5\mid x^2\), तो \(5\mid x\)If \(5\mid x^2\), then \(5\mid x\)

Step 1

Concept

(5) is a prime number.

Step 2

Why this answer is correct

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

Step 3

Exam Tip

This rule gives the divisibility of (x) and later (y). चरण 1: (5) अभाज्य संख्या है। चरण 2: अभाज्य संख्या किसी वर्ग को भाग दे तो वह मूल संख्या को भी भाग देती है। चरण 3: इसी नियम से (x) और बाद में (y) की विभाज्यता मिलती है।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. यदि \(5\mid x^2\), तो \(5\mid x\) / If \(5\mid x^2\), then \(5\mid x\).

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