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Why can (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}) not be directly treated as integers?किस कारण से (\sqrt{2}), (\sqrt{3}) और (\sqrt{5}) को सीधे पूर्णांक नहीं माना जा सकता?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (2), (3), and (5) are not perfect squaresक्योंकि (2), (3), और (5) पूर्ण वर्ग नहीं हैं
Step 1: Square roots of perfect squares are integers. Step 2: (2), (3), and (5) are not perfect squares. Step 3: That is why irrationality proofs are studied for their square roots.चरण 1: पूर्ण वर्गों के वर्गमूल पूर्णांक होते हैं। चरण 2: (2), (3), और (5) पूर्ण वर्ग नहीं हैं। चरण 3: इसलिए इनके वर्गमूलों के लिए अपरिमेयता का प्रमाण पढ़ाया जाता है।
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