Radicals Packet Worksheet Page 3
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6Equations with Radicals
When solving an equation with radicals, always check the solutions for any extraneous roots.
Any solution that does not make the original equation true is an extraneous root.
Find all real solutions for each of the following equations.
Be sure to check for extraneous roots.
x − =
x =
x − =
A) 2
3 1
B)
2
4
C)
7 0
x + =
x + =
+ −
=
3
D)
6 0
E)
5 3
F)
x
6
x
2
+ −
− =
+
−
=
+
−
=
G)
3
x
1
2
x
1 1
H) 7
21 3x
x
I)
x
33
x
3
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