Easy Mathematics Chapter 1: Real Numbers Class 10 Level 18

\(\sqrt{2}\), \(\sqrt{3}\) और \(\sqrt{5}\) की अपरिमेयता में कौन सी विधि समान है?

Which method is common in proving the irrationality of \(\sqrt{2}\), \(\sqrt{3}\), and \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

B. विरोधाभास विधिMethod of contradiction

Step 1

Concept

In all three proofs, the number is first assumed rational.

Step 2

Why this answer is correct

Then a contradiction is shown using the coprime condition.

Step 3

Exam Tip

Therefore it is called the method of contradiction. चरण 1: तीनों प्रमाणों में पहले संख्या को परिमेय मानते हैं। चरण 2: फिर सहअभाज्य शर्त से विरोधाभास दिखाते हैं। चरण 3: इसलिए इसे विरोधाभास विधि कहा जाता है।

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The correct answer is B. विरोधाभास विधि / Method of contradiction.

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