B All Ⓒ (i), (iii) D None E (i), (ii), (iv) (ii), (iii) Which of the following are true ? (i): R= {a+b√3|a, b € Z}. Then (R, +,-) is an integral domain. (ii): R= {a+b√ a, b e Z}. Then (R, +,) is an integral domain. (iii): R = {a+b√3 | a, b = Q}. Then (R, +,-) is a field. (iv): R= {a+b√3|a, b € Z}. Then (R, +,-) is a field. ...
B All Ⓒ (i), (iii) D None E (i), (ii), (iv) (ii), (iii) Which of the following are true ? (i): R= {a+b√3|a, b € Z}. Then (R, +,-) is an integral domain. (ii): R= {a+b√ a, b e Z}. Then (R, +,) is an integral domain. (iii): R = {a+b√3 | a, b = Q}. Then (R, +,-) is a field. (iv): R= {a+b√3|a, b € Z}. Then (R, +,-) is a field. ...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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Transcribed Image Text:B
All
Ⓒ (i), (iii)
D
None
E
(i), (ii), (iv)
(ii), (iii)
Which of the following are true ?
(i): R= {a+b√3|a, b € Z}.
Then (R, +,-) is an integral domain.
(ii): R= {a+b√ a, b e Z}.
Then (R, +,) is an integral domain.
(iii): R = {a+b√3 | a, b = Q}.
Then (R, +,-) is a field.
(iv): R= {a+b√3|a, b € Z}.
Then (R, +,-) is a field.
....
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