5. (a) Use modular arithmetic to show that if an integer a is not divisible by 3, then a2 = 1 (mod 3) (b) Use this result to prove that in any Pythagorean triple (x, y, z), either x or y (or both) must be divisible by 3
5. (a) Use modular arithmetic to show that if an integer a is not divisible by 3, then a2 = 1 (mod 3) (b) Use this result to prove that in any Pythagorean triple (x, y, z), either x or y (or both) must be divisible by 3
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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