Considet the quadratic integer ring Z[sqrt{D}] where D is a square free integer (a) Show 3 is reducible in D = -2 yet irreducible in D = -5 and (b) is 3 prime when D is -2 and -5? Justify!   please do not provide solution in image format thank you!

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Considet the quadratic integer ring Z[sqrt{D}] where D is a square free integer (a) Show 3 is reducible in D = -2 yet irreducible in D = -5 and (b) is 3 prime when D is -2 and -5? Justify!

 

please do not provide solution in image format thank you!

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