TRUE OR FALSE. Determine each of the following statements if it is true or false. If a^3 divides c^2, then a divides c If p is prime, p divides a^2 + b^2 and p divides b^2 + c^2, then p divides a^2 + c^2 Is the product of two prime numbers also a prime number?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 72E
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True or False then Prove or give examples. Answer 1-3

TRUE OR FALSE. Determine each of the following statements if it is true or
false.
If a^3 divides c^2, then a divides c
If p is prime, p divides a^2 + b^2 and p divides b^2 + c^2, then p divides a^2 + c^2
Is the product of two prime numbers also a prime number?
Transcribed Image Text:TRUE OR FALSE. Determine each of the following statements if it is true or false. If a^3 divides c^2, then a divides c If p is prime, p divides a^2 + b^2 and p divides b^2 + c^2, then p divides a^2 + c^2 Is the product of two prime numbers also a prime number?
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