Let R = Z[√2] = {a+b√2: a,b € Z} and F = Q[√2] = {a+b√2: a,b € Q}. Then R is a ring, F is a field, and RCFCR. Define the norm on F by setting v(a+b√2)= |a²-26²1. Note that for a = a +b√2, v(a)= |aa| where aa = a - b√2 (a) Show that for any a, ß € F, aß = aß and use this to show that v(aß) = v(a)v(B)

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