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Posted: **Mon Jul 11, 2022 12:06 pm**

: 8 Determine Dimo Q 2 3 Hint Recall From Exercise 4 I In Section 5 That Q 2 3 Q 2 3 And Check Lemma 1 (42.99 KiB) Viewed 24 times

8. Determine dimo(Q[√2+√3]). [Hint: Recall from Exercise 4(i) in Section 5 that Q[√2 + √√3] = Q[√2, √3], and check Lemma 4.2.] Lemma 4.2 Let U be a ring, and let S and T be subfields of U with SCT. Assume that dims(T) and dimŢ(U) are finite. Then dims (U) = dims(T)·dimŢ(U).