A. TRUE OR FALSE. Determine each of the following statements if it is true or false. Support your answer by proving or giving examples 1. If p is prime such that p divides a^2 then p divides a 2. If a^3 divides c^2, then a divides c 3. If p is prime, p divides a^2 + b^2 and p divides b^2 + c^2 , then p divides a^2 + c^

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 84E
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A. TRUE OR FALSE. Determine each of the following statements if
it is true or false.
Support your answer by proving or giving examples
1. If p is prime such that p divides a^2 then p divides a
2. If a^3 divides c^2, then a divides c
3. If p is prime, p divides a^2 +b^2 and p divides b^2 + c^2, then p divides a^2 + c^
A
Gc
Transcribed Image Text:A. TRUE OR FALSE. Determine each of the following statements if it is true or false. Support your answer by proving or giving examples 1. If p is prime such that p divides a^2 then p divides a 2. If a^3 divides c^2, then a divides c 3. If p is prime, p divides a^2 +b^2 and p divides b^2 + c^2, then p divides a^2 + c^ A Gc
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