Afreen Amzad posted an Question
June 17, 2022 • 13:52 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Question 6: which of the following is an alge braic extension of the field of rational numbers a: r c: both r and c d: none of r and c

Question 6: Which of the following is an alge braic extension of the field of rational numbers A: R C: Both R and C D: None of R and C please explain this

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  • Afreen amzad Amzad

    What about Pi in complex numbers.... There is no such polynomial in Q for which pi is its root..so C is not algebraic extension of Q

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    every real numbers is complex numbers bcz R contain inC

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    Navdeep goyal 1

    Q is subfield of R and C R(Q) and C(Q) are vector space so R and C are extension of Q But R is not algebraic extension of Q bcz root of x²+1=0 not lie in R

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    but here it is asked whether it is algebraic extension or not

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    what ur dabut

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    sorry check now

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