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In: Advanced Math

Which of the following are subrings of the field R of real numbers: (d) D =...

Which of the following are subrings of the field R of real numbers:

(d) D = {a + b (3√3) + c (3√9) | a, b, c ∈ Q}.

(e) E = {m + n(1 + √ 3)/2 | m, n ∈ Z}.

(f) F = {m + n(1 + √ 5)/2 | m, n ∈ Z}.

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