simplifying

# Simplifying - Simplifying Radical Expressions For a radical expression to be simplified it has to satisfy the following conditions 1 2 3 4 The

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Simplifying Radical Expressions For a radical expression to be simplified it has to satisfy the following conditions: 1. The radicand has no factor raised to a power greater than or equal to the index. (EX:There are no perfect-square factors.) 2. The radicand has no fractions. 3. No denominator contains a radical. 4. Exponents in the radicand and the index of the radical have no common factor , other than one.

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Converting roots into fractional exponents: Any radical expression may be transformed into an expression with a fractional exponent. The key is to remember that the fractional exponent must be in the form power root For example = 16 ( 29 1 2 16 ( 29 ( 29 5 3 5 3 2 2 - = -
Remember that a negative in the exponent does not make the number negative! If a base has a negative exponent, that indicates it is in the “wrong” position in fraction. That base can be moved across the fraction bar and given a postive exponent. 1

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## This note was uploaded on 11/11/2011 for the course MATH 110 taught by Professor Staff during the Winter '08 term at BYU.

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Simplifying - Simplifying Radical Expressions For a radical expression to be simplified it has to satisfy the following conditions 1 2 3 4 The

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