Mathematics, 18.07.2020 19:01, laceysmith2i023

Let G= a + b√ 2 | a, b are rational

and
H= a 2b
b a

a and b are rational

Show that G and H are isomorphic under addition. Prove that G and H are closed under multiplication. Does your isomorphism preserve multiplication as well as addition?

Answers: 1

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Let G= a + b√ 2 | a, b are rational

and
H= a 2b
b a

a and b a...