Mathematics · Field Theory
Which of the following statements is true for α ∈ ℝ?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1There is an α which is not algebraic over ℚ[√-1]
- 2α need not be algebraic over any subfield of ℝ
- 3α could be algebraic over ℚ[√2] but may not be algebraic over ℚ
- 4If α 3 is algebraic over ℚ, then α is algebraic over ℚ✓
Correct answer
If α 3 is algebraic over ℚ, then α is algebraic over ℚ
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