Let Q(sqrt(d))={a+b*sqrt(d) such that a and b are rational}. Let d be any integer, not a perfect square. Show that Q(sqrt(d)) is indeed a subfield of C. You may use the fact that Q(sqrt(2)) is a subfield of R.

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- Feb 9th 2010, 08:42 AMtwittytwitterSubfield of C.
Let Q(sqrt(d))={a+b*sqrt(d) such that a and b are rational}. Let d be any integer, not a perfect square. Show that Q(sqrt(d)) is indeed a subfield of C. You may use the fact that Q(sqrt(2)) is a subfield of R.