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--- problem:a_b_sqrt_2 [2013/12/24 22:58]
tarafife created
+++ problem:a_b_sqrt_2 [2013/12/24 22:59] (current)
tarafife
@@ Line 2: / Line 2: @@
 ==== Problem ====
 Let $S$ be the set $\{a + b\sqrt{2}|a,b \in \mathbb{Q}$. Please show
-  * that $S$ is a group under addition. We will denote this group $(S,+)$.
+  - that $S$ is a group under addition. We will denote this group $(S,+)$.
-  * and that $(S,+)$ is abelian
+  - and that $(S,+)$ is abelian
-  * that $S-{0}$ is a group under multiplication. We will denote this group as $(S-{0},*)$.
+  - that $S-{0}$ is a group under multiplication. We will denote this group as $(S-{0},*)$.
-  *
+  -
 ----

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