Consider the following conditional statement for a natural number n: If n is composite and even, then √n is not a rational number (a) Write the contrapositive of the original statement: (b) Write the negation of the original statement: (c) Give an example of a natural number n such that n is composite, even, and √n is not a rational number. Show that each of these properties hold for your particular value of n by appealing to definitions. Do not simply provide a value of n with no justification
Consider the following conditional statement for a natural number n: If n is composite and even, then √n is not a rational number (a) Write the contrapositive of the original statement: (b) Write the negation of the original statement: (c) Give an example of a natural number n such that n is composite, even, and √n is not a rational number. Show that each of these properties hold for your particular value of n by appealing to definitions. Do not simply provide a value of n with no justification
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following conditional statement for a natural number n:
If n is composite and even, then √n is not a rational number
(a) Write the contrapositive of the original statement:
(b) Write the negation of the original statement:
(c) Give an example of a natural number n such that n is composite, even, and √n is not a rational number. Show that each of these properties hold for your particular value of n by appealing to definitions. Do not simply provide a value of n with no justification.
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