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5. (a) Show that Q(V2) C Q V2). (b) Find [Q( 12): Q(V2)]. (c) Show that...

5. (a) Show that Q(V2) C Q V2). (b) Find [Q( 12): Q(V2)]. (c) Show that r - V2 is irreducible in Q(V2)[].

5. (a) Show that Q(V2) C Q V2). (b) Find [Q( 12): Q(V2)]. (c) Show that r - V2 is irreducible in Q(V2)[].
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© Let we have to show that @[12) c Q 1972. Then, fx)=x²-2 EQ (52) e f(x)=(x-52) (x + 2) e Q (2) The degree of alue) 22 Now, fwe have to show that x 52 is irreducible in @[va][x]. Let flug = nsrz 1 :1 (xs-12). there has=1 and gees us v2 ... hbn)=1 ih

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