How would you prove √√/2 is irrational? direct proof O proof by contradiction, assume it is rational and find a contradiction proof by contrapositive, prove if it is irrational it is √√2 O proof by counter example, find a square root that is rational

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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Question no 1
(a)
How would you prove √√2 is irrational?
O direct proof
O proof by contradiction, assume it is rational and find a contradiction
proof by contrapositive, prove if it is irrational it is √2
O proof by counter example, find a square root that is rational
(b)
How would you prove for any integer n, n(n²-n) is even
O proof by negation
O proof by counter example
O proof by cases since n can be even
O proof by contrapositive
odd
Transcribed Image Text:Question no 1 (a) How would you prove √√2 is irrational? O direct proof O proof by contradiction, assume it is rational and find a contradiction proof by contrapositive, prove if it is irrational it is √2 O proof by counter example, find a square root that is rational (b) How would you prove for any integer n, n(n²-n) is even O proof by negation O proof by counter example O proof by cases since n can be even O proof by contrapositive odd
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