Question: 1. (a) Show that the equation r* = -1 has no solutions with r e Zig. (b) Let i be such that ? = -1.

1. (a) Show that the equation r* = -1 has no solutions with r e Zig. (b) Let i be such that ? = -1. Assume that Zigfil = fa + bi : a, b C Zig} is a ring under the "usual" addition and multiplication. Show that Zigli] is a field

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