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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

\(\sqrt{2}\) के प्रमाण में (p) सम मिलने के बाद (p=2k) में (k) कैसा होता है?

In the proof of \(\sqrt{2}\), after (p) is found even, what type of number is (k) in (p=2k)?

Explanation opens after your attempt
Correct Answer

A. पूर्णांकInteger

Step 1

Concept

An even integer is written as (2) times an integer.

Step 2

Why this answer is correct

Therefore in (p=2k), (k) is an integer.

Step 3

Exam Tip

Mentioning the type of (k) makes the proof clear. चरण 1: सम पूर्णांक को (2) गुणा किसी पूर्णांक के रूप में लिखा जाता है। चरण 2: इसलिए (p=2k) में (k) पूर्णांक है। चरण 3: (k) का प्रकार लिखना प्रमाण को स्पष्ट बनाता है।

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

यदि (p) सम है, तो (p) को किस रूप में लिखा जा सकता है?

If (p) is even, in which form can (p) be written?

Explanation opens after your attempt
Correct Answer

A. (p=2k), जहां (k) पूर्णांक है(p=2k), where (k) is an integer

Step 1

Concept

An even number is completely divisible by (2).

Step 2

Why this answer is correct

Therefore if (p) is even, we can write (p=2k).

Step 3

Exam Tip

Writing an even number as (2k) makes the proof easier. चरण 1: सम संख्या (2) से पूरी तरह विभाजित होती है। चरण 2: इसलिए (p) सम होने पर (p=2k) लिखा जा सकता है। चरण 3: प्रमाण में सम संख्या को (2k) लिखना आसान रास्ता देता है।

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