Show that the set V = { a+b√2+c√3/a, b, c EQ), over the field Q of rational numbers is a vector space under usual addition and scalar multiplication.
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In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
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