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In the proof of (\sqrt{2}), if (a=2k) is obtained from (a^2=2b^2), what is true about (k)?(\sqrt{2}) के प्रमाण में यदि (a^2=2b^2) से (a=2k) मिलता है, तो (k) के बारे में क्या सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (k) is an integer(k) पूर्णांक है
Step 1: (a) is an integer and has been proved even. Step 2: An even integer is written as (2k), where (k) is an integer. Step 3: 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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