Determine whether or not the set of numbers R= { a+b√2+c√3|a€Z, b,ce Q} under the ordinary addition and multiplication. yes, because it satisfies all the conditions Ono, because it is not closed under multiplication no, because it doesn't satisfy the distributive property of rings no, because multiplication doesn't have commutative property

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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Discrete math
QUESTION 4
the
Determine whether or not
R={a+b√2+c√3|a€Z,b,c € Q}
ordinary addition and multiplication.
set of numbers
yes, because it satisfies all the conditions
under the
no, because it is not closed under multiplication
Cs Scanned with CamScanner
no, because it doesn't satisfy the distributive
property of rings
no, because multiplication doesn't have commutative
property
Transcribed Image Text:QUESTION 4 the Determine whether or not R={a+b√2+c√3|a€Z,b,c € Q} ordinary addition and multiplication. set of numbers yes, because it satisfies all the conditions under the no, because it is not closed under multiplication Cs Scanned with CamScanner no, because it doesn't satisfy the distributive property of rings no, because multiplication doesn't have commutative property
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