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5. Let a irrational number be a number that cannot be expressed as the fraction of two integers. Prove that V/2 is irrational for any n ≥ 3. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion

5. Let a irrational number be a number that cannot be expressed as the fraction of two integers. Prove that V/2 is irrational for any n ≥ 3. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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This is Discrete Math. Please show all work and give explanations for solutions. The second photo is just how to write the proof. Thank you!
5. Let a irrational number be a number that cannot be expressed as the fraction of two integers. Prove that V2 is irrational for any n > 3. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion
Transcribed Image Text:5. Let a irrational number be a number that cannot be expressed as the fraction of two integers. Prove that V2 is irrational for any n > 3. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion
Common Proof Tools This list serves as a reminder of proof justifications you may use throughout the homework. We are providing the following here as hints for your homework, however, this list will not be provided on an exam 1. x is even if and only if x is even 2. x is odd if and only if x is odd 3. Multiplication is closed under integers 4. Addition is closed under integers 5. The definition of a biconditional states that p ↔ q is equivalent to p→ q^q→p 6. The list is not all inclusive and does not include other definitions learned in class and algebraic properties learned elsewhere
Transcribed Image Text:Common Proof Tools This list serves as a reminder of proof justifications you may use throughout the homework. We are providing the following here as hints for your homework, however, this list will not be provided on an exam 1. x is even if and only if x is even 2. x is odd if and only if x is odd 3. Multiplication is closed under integers 4. Addition is closed under integers 5. The definition of a biconditional states that p ↔ q is equivalent to p→ q^q→p 6. The list is not all inclusive and does not include other definitions learned in class and algebraic properties learned elsewhere
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