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Question Expert Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

\(\sqrt{2}\) को परिमेय मानने पर \(2q^2=p^2\) लिखा गया। इस समीकरण का सही उपयोग क्या है?

After assuming \(\sqrt{2}\) rational, \(2q^2=p^2\) is written. What is the correct use of this equation?

Explanation opens after your attempt
Correct Answer

A. यह दिखाता है कि \(p^2\) सम हैIt shows that \(p^2\) is even

Step 1

Concept

\(2q^2\) is clearly even.

Step 2

Why this answer is correct

Since \(p^2=2q^2\), \(p^2\) is also even.

Step 3

Exam Tip

Then an even square gives an even base. चरण 1: \(2q^2\) स्पष्ट रूप से सम संख्या है। चरण 2: \(p^2=2q^2\) होने से \(p^2\) भी सम होगा। चरण 3: फिर सम वर्ग से सम आधार का निष्कर्ष लिया जाता है।

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