Square Roots Worksheet Page 3

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Nth Roots and Rational Exponents:
If n is any positive integer, then the principle nth root of a is defined as follows:
Rule
Example
=
=
=
n
=
5
means
because
n
a
b
b
a
5
32
2
(
) 2
32
ab =
n
n
n
(
a
)(
b
)
n
a
a
=
n
b
n
b
=
n
n
if n is odd
a
a
=
n
n
a
a
if n is even
 
6.     S implify   e ach   r adical   e xpression  
 
a.    
     
 
 
 
b.    
     
 
 
c.      
 
7
3
5
2
8
8x
y
98x
y
242xy
 
 
 
 
 
 
 
d.   136x
         
 
 
 
e.   500x
2
9
     
 
 
 
f.     216x
5
10
   
7
3
y
y
3
3
3
y
 
 
 
 
 
 
 
 
 
 
 
3  
 

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