The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

(Marvins-Underground-K-12) #1
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WORKSHEET 7.4: DIVIDING RADICALS
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To divide radicals you must use the quotient property of square roots. This property states
that the square root of a quotient equals the quotient of the square roots.


x
y

=


x
√y, wherex
is a real number greater than or equal to 0 andyis a real number that is greater than 0.
Follow the steps below to divide radicals:


  1. If one radical is a factor of the other, divide the radicals. If the radicals have a common
    factor, simplify.

  2. Simplify the radical expression.

    • Radicands should have no common perfect square factor other than 1.

    • No radicals should be in the denominator.




EXAMPLE
3


12


10

Simplify the radicals because


10 is not a factor of


12.

3


12


10

= 3


12

10

= 3


6

5

=

3


6


5

Simplify the radical expression.

3


6


5

·


5


5

=

3


30


25

=

3


30

5

DIRECTIONS: Simplify each expression.







3


15






14


20





4


6


2






20


5





3


6


8






27


30






15


3






40


12

CHALLENGE:Mary simplified


64
16

as



  1. Is she correct? If not, explain
    why not.


259

Copyright


©


2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.

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