Hard Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{2}\) के प्रमाण में यदि \(a^2=2b^2\) से (a=2k) मिलता है, तो (k) के बारे में क्या सही है?

In the proof of \(\sqrt{2}\), if (a=2k) is obtained from \(a^2=2b^2\), what is true about (k)?

Explanation opens after your attempt
Correct Answer

A. (k) पूर्णांक है(k) is an integer

Step 1

Concept

(a) is an integer and has been proved even.

Step 2

Why this answer is correct

An even integer is written as (2k), where (k) is an integer.

Step 3

Exam Tip

Clearly mentioning the type of the new variable strengthens the proof. चरण 1: (a) पूर्णांक है और सम सिद्ध हुआ है। चरण 2: सम पूर्णांक को (2k) के रूप में लिखा जाता है, जहां (k) पूर्णांक होता है। चरण 3: नए अक्षर का प्रकार स्पष्ट लिखना प्रमाण को मजबूत बनाता है।

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