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Simplifying expressions5/27/2023 ![]() ![]() Fraction Line (Vinculum) -: The fraction line is another grouping symbol and helps to represent the numerator and denominator in a fraction.Radical √: This symbol is used to represent the square root of a number / variable and is called as the Square Root symbol.Brackets and Braces (}: When the no., of groupings is more, we resort to using brackets and braces for grouping and they have the same effect as parentheses.Parentheses (): Parentheses are the most commonly used symbols for grouping.The following group symbols are mainly used in Algebra in framing expressions and equations: – We must also note that all the bracket types have equal weight and none is more powerful or acts differently from others. While doing so, we have to ensure that the terms inside a grouping symbol must be simplified first before allowing them to be acted upon by terms outside the grouping symbol. Parentheses, brackets, braces and radicals are some of the algebraic grouping symbols and they help us to identify where a group starts and ends and they indicate / guide the order in which the operations have to be carried out for simplification or solution. They help us to carry out the operations in an organized manner. They are widely used when we have complex expressions with multiple terms, requiring a number of operations to be carried out to arrive at the end result. Brackets/Parenthesis and their applications:īrackets are the symbols used for grouping the terms in an algebraic expression and they help to identify the order / sequence in which the operations are to be carried out while simplifying the expression as well as solving the equations. ![]()
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