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Which option is correct about (\frac{1}{\sqrt{3}})?कौन सा विकल्प (\frac{1}{\sqrt{3}}) के बारे में सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is irrationalयह अपरिमेय है
Step 1: If (\frac{1}{\sqrt{3}}) were rational then its reciprocal (\sqrt{3}) would be rational. Step 2: (\sqrt{3}) is irrational so the given number is irrational. Step 3: A denominator with an irrational radical does not make the value rational automatically.चरण 1: यदि (\frac{1}{\sqrt{3}}) परिमेय हो तो उसका व्युत्क्रम (\sqrt{3}) भी परिमेय होगा। चरण 2: (\sqrt{3}) अपरिमेय है इसलिए दी गई संख्या भी अपरिमेय है। चरण 3: अपरिमेय हर देखकर उसे अपने आप परिमेय न मानें।
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