Mathematics · Field Theory

निम्नलिखित में से कौन सा कथन α &in; &reals; के लिए सत्य है?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1एक ऐसा α मौजूद है जो &rationals;[√-1] पर बीजीय नहीं है
2आवश्यक नहीं है कि α, &reals; के किसी भी उपक्षेत्र (subfield) पर बीजीय हो
3α, &rationals;[√2] पर बीजीय हो सकता है लेकिन &rationals; पर बीजीय नहीं हो सकता है
4यदि α 3 , &rationals; पर बीजीय (algebraic) है, तो α, &rationals; पर बीजीय है✓

सही उत्तर देखें

यदि α 3 , &rationals; पर बीजीय (algebraic) है, तो α, &rationals; पर बीजीय है

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निम्नलिखित में से कौन सा कथन &alpha; &in; &reals; के लिए सत्य है?