3. Let R be the subring (a+b√10 | a,b e Z) of the field of real numbers. (a) The map N:R-Z given by a+b√10(a+b√10)(a - bic =a² - 10b² is such that N(uv) = N(u)N(v) for all u,v e R and N(u) = 0 if ar only if u = 0. ✓(b) u is a unit in R if and only if N(u) ±1.

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A: Given that, Now K satisfies the following:

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A: Step 1: Step 2: Step 3: Step 4:

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