every irreducible integer is prime. MORE TO BE ADDED LATER unit integer in ZK is a product of irreducible integers. a prime. Prove that the...

Can you please solve it with explanations

In the picture attached is the question I am trying to solve.It has three parts. For part A we need to verify that complex number in the form of a + bi are reducible. Part B ask show that factorization is unique

every irreducible integer is prime.MORE TO BE ADDED LATERunit integer in ZK is a product of irreducible integers.a prime. Prove that the factorization in 5A is also unique.Problem 5A: Let K = Q[V-d] be an imaginary quadratic field. Prove that every non-zero non-Problem 5B: Suppose furthermore that Zk has the property that every irreducible integer is alsoProblem 5C: Prove that if ZK has unique factorization property into irreducible integers then(3 - 8V-1)a + (7+ 14V-1)6=1