It is easier to work with simplified radicals just as it is easier to work with simplified fractions. A fundamental rule for math is to simplify whenever possible, as much as possible.
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Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4xy).
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Convert the fractions into equivalent fractions with the same denominator. In actually adding mixed numbers, it is easier to convert the mixed numbers into improper (top heavy) fractions, do the addition, simplify the resulting fraction and convert any resulting improper fraction back into a mixed number.