Expert Mathematics Chapter 1: Real Numbers Class 10 Level 18

\(\sqrt{3}\) के प्रमाण में (p=3k) रखने के बाद \(9k^2=3q^2\) मिला। इसे सरल करने का सही तरीका क्या है?

In the proof for \(\sqrt{3}\), after putting (p=3k), \(9k^2=3q^2\) is obtained. What is the correct simplification?

Explanation opens after your attempt
Correct Answer

A. दोनों पक्षों को (3) से भाग देकर \(q^2=3k^2\) पानाDivide both sides by (3) to get \(q^2=3k^2\)

Step 1

Concept

In \(9k^2=3q^2\), the common factor is (3).

Step 2

Why this answer is correct

Dividing by (3) gives \(3k^2=q^2\), that is \(q^2=3k^2\).

Step 3

Exam Tip

Remove only valid common factors while simplifying. चरण 1: \(9k^2=3q^2\) में साझा गुणनखंड (3) है। चरण 2: (3) से भाग देने पर \(3k^2=q^2\), यानी \(q^2=3k^2\) मिलता है। चरण 3: सरलीकरण में केवल वैध समान गुणनखंड हटाएँ।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. दोनों पक्षों को (3) से भाग देकर \(q^2=3k^2\) पाना / Divide both sides by (3) to get \(q^2=3k^2\).

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