Multiplying And Dividing Radical Expressions Worksheet Page 2

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11-8.4 – Rationalizing the Denominator
A quotient with a square root in the denominator is not simplified. To simplify these expressions, multiply the
fraction by a value of one that contains the radical in the denominator. This is called rationalizing the
denominator.
Examples: Simplify each quotient
7
2
14
14
7
8
n
56
n
2
14
n
14
n
*
*
2
8
n
4
n
2
2
4
2
8
n
8
n
64
n
7
a
12
84
a
4
21
a
21
a
2
80
7
2
560
8
35
*
*
12
3
7
12
12
144
7
7
49

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