Question
defines a binary operation on
, the set of rational numbers.
Answer :
Word Count : 207
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We are asked to consider a binary operation on (\mathbf{Q}) defined by: [ a \oplus b = \sqrt{a + b}. ] We need to examine its properties numerically and verify whether it satisfies the conditions of a binary operation on (\mathbf{Q}). A binary operation on a set (S) must satisfy: for all (a, b \in S), (a \oplus b \in S). Here, (S = \mathbf{Q}), the set of rational numbers. Take examples of rational numbers: 1. Let
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