N(8+i)N(8+i) = N[(8+i)(8+i)] = -. and 652 = (72 + 4*)² = N(7+4i)N(7+ 4i) N[(7 + 4i)(7 + 4i)] - 4. Prove that the ring Z[V-2] = {a + bv2i:a, b e Z} is an ED by showing it satisfies the division algorithm with N(a + by2i) = a² + 26².
N(8+i)N(8+i) = N[(8+i)(8+i)] = -. and 652 = (72 + 4*)² = N(7+4i)N(7+ 4i) N[(7 + 4i)(7 + 4i)] - 4. Prove that the ring Z[V-2] = {a + bv2i:a, b e Z} is an ED by showing it satisfies the division algorithm with N(a + by2i) = a² + 26².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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number 4 please
![N(8 + i)N(8+i) = N[(8+i)(8+i)] = ·. and 652 = (72 + 4*)² = N(7+4i)N(7+4i) =
N[(7 + 4i)(7 + 4i)] -
4. Prove that the ring Z[V-2] = {a + bv2i:a, b e Z} is an ED by showing it satisfies
the division algorithm with N(a + bv2i) = a² + 26².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d040c73-5bcf-4909-aa2b-abaad050d675%2Fbadcd6e2-50ce-4e34-83b8-36e28f666f70%2Fjfd9dqj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:N(8 + i)N(8+i) = N[(8+i)(8+i)] = ·. and 652 = (72 + 4*)² = N(7+4i)N(7+4i) =
N[(7 + 4i)(7 + 4i)] -
4. Prove that the ring Z[V-2] = {a + bv2i:a, b e Z} is an ED by showing it satisfies
the division algorithm with N(a + bv2i) = a² + 26².
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