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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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.
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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