Medium Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{5}\) के प्रमाण में (p=5k) रखने के बाद \(q^2=5k^2\) मिलना क्यों महत्वपूर्ण है?

In the proof of \(\sqrt{5}\), why is getting \(q^2=5k^2\) after putting (p=5k) important?

Explanation opens after your attempt
Correct Answer

A. क्योंकि इससे (q) भी (5) से विभाज्य सिद्ध होता हैBecause it proves (q) is also divisible by (5)

Step 1

Concept

From \(q^2=5k^2\), \(q^2\) is divisible by (5).

Step 2

Why this answer is correct

By the prime rule, (q) is also divisible by (5).

Step 3

Exam Tip

Then (p) and (q) both have common factor (5). चरण 1: \(q^2=5k^2\) से \(q^2\) (5) से विभाज्य है। चरण 2: अभाज्य नियम से (q) भी (5) से विभाज्य होगा। चरण 3: तब (p) और (q) दोनों में (5) साझा गुणनखंड मिलता है।

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The correct answer is A. क्योंकि इससे (q) भी (5) से विभाज्य सिद्ध होता है / Because it proves (q) is also divisible by (5).

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