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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 perfectsquare 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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View Full Document 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.
 Winter '08
 Staff
 Algebra, Factors

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