. Let R= Z[V-5). (a) Find all units of R. (b) Is 1+ V-5 irreducible in R? (c) Is 2 a prime in R? %3D

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Q: (c) Prove that m is prime if and only if y(m) = m - 1.

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Q: (d) (27+5)(2- i)|=/3 12z +5|. %3D

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Q: Prove the following identity: (x + y)2- (x-y)? = 4xy %3D

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Q: prove that theta(2m) = theta(m) when m is odd and theta(2m) = 2 theta(m) when m is even

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Q: The element (3x-6) is Reducible over QO lucible over Q and R c. Both d. Other O O O O

A: The elements (3x-6) is_____