Hard Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{2}\) की सिद्धि में \(a^2=2b^2\) से सीधे (a=2b) लिखना किस प्रकार की गलती है?

In the proof of \(\sqrt{2}\), what type of error is directly writing (a=2b) from \(a^2=2b^2\)?

Explanation opens after your attempt
Correct Answer

A. वर्ग समीकरण से गलत मूल समीकरण निकालनाIncorrectly deriving a root-level equation from a squared equation

Step 1

Concept

(a=2b) does not directly follow from \(a^2=2b^2\).

Step 2

Why this answer is correct

The correct conclusion is that \(a^2\) is even and (a) is even.

Step 3

Exam Tip

Do not hastily make a root-level equation from a squared equation. चरण 1: \(a^2=2b^2\) से सीधे (a=2b) नहीं मिलता। चरण 2: सही निष्कर्ष है कि \(a^2\) सम है और (a) सम है। चरण 3: वर्ग समीकरण से जल्दबाजी में मूल समीकरण न बनाएं।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. वर्ग समीकरण से गलत मूल समीकरण निकालना / Incorrectly deriving a root-level equation from a squared equation.

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