Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) |
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Question
![i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i)
= 109 and N(B) = 113,
ii) Given two Gaussian integers a and B with norms N(a)
find gcd(a, B). You must fully justify your answer.
iii) Which of the following Gaussian integers are Gaussian primes?
а. 11i;
b. -29i;
c. 4+ 3i
d. 5+ 4i
You must fully justify your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23dad709-2bc7-43db-9d99-5bd175f70c4a%2F9fbdf811-9163-44e4-b38d-7c0b2049df07%2Fno31a98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i)
= 109 and N(B) = 113,
ii) Given two Gaussian integers a and B with norms N(a)
find gcd(a, B). You must fully justify your answer.
iii) Which of the following Gaussian integers are Gaussian primes?
а. 11i;
b. -29i;
c. 4+ 3i
d. 5+ 4i
You must fully justify your answers.
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