EVALUATION: Prove the following. 1. Using direct proof, show that "if x and y are sum of two integer squares, then xy are also sum of two integer squares." 2. By contradiction, prove that "for all real numbers x, if x is irrational, then -x is irrational. 3. If n is an integer and n2 is divisible by 4, then n is divisible by 4. Prove or disprove by counter example.

EVALUATION: Prove the following. 1. Using direct proof, show that "if x and y are sum of two integer squares, then xy are also sum of two integer squares." 2. By contradiction, prove that "for all real numbers x, if x is irrational, then -x is irrational. 3. If n is an integer and n2 is divisible by 4, then n is divisible by 4. Prove or disprove by counter example.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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