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2. Prove that, for all k E N, 2 can be written as the sum of two squares.

2. Prove that, for all k E N, 2 can be written as the sum of two squares.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...
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2. Prove that, for all k E N, 24 can be written as the sum of two squares.
Transcribed Image Text:2. Prove that, for all k E N, 24 can be written as the sum of two squares.
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