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Question Expert Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

यदि \(\sqrt{2}\) की जगह \(\sqrt{4}\) हो, तो वही विरोधाभास प्रमाण क्यों लागू नहीं होगा?

If \(\sqrt{4}\) is used instead of \(\sqrt{2}\), why will the same contradiction proof not apply?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(\sqrt{4}=2\) परिमेय पूर्णांक हैBecause \(\sqrt{4}=2\) is a rational integer

Step 1

Concept

(4) is a perfect square.

Step 2

Why this answer is correct

\(\sqrt{4}=2\), which is rational and an integer.

Step 3

Exam Tip

The irrationality contradiction proof is not applied to perfect squares. चरण 1: (4) पूर्ण वर्ग है। चरण 2: \(\sqrt{4}=2\), जो परिमेय और पूर्णांक है। चरण 3: अपरिमेयता का विरोधाभास प्रमाण पूर्ण वर्गों पर नहीं लगाया जाता।

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