Which of the following binary operation is not closed in the set of real numbers? O a*b = √ab O a*b = √√/ab O a*b = ba Ⓒa*b = √a² + b²

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 10E: Let be a nonzero integer and a positive integer. Prove or disprove that .
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Which of the following binary operation is not closed in the set of real numbers?
O a*b = √ab
O a*b = √√/ab
O a*b = ba
○a*b = √a² + b²
Transcribed Image Text:Which of the following binary operation is not closed in the set of real numbers? O a*b = √ab O a*b = √√/ab O a*b = ba ○a*b = √a² + b²
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