Algebra Worksheets - Complete Set With Answers Page 51

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Simplifying radicals - 8.1
Perfect Squares
These numbers have a set of “twins” as
4 = 2
factors:
16 = 4  4
(notice the “twins” as factors) = 4
1 = 1
9 = 3  3 = 3
144 = 12
a) Try these:
1) 121 _______
2) 25 _______
3) 49 _______
4) 100 _______
6)
_______
5) 36 _______
7) 64 _______
8)
81 _______
NOT so perfect squares: Choose a set of factors, where one is a perfect square. Look for the
largest perfect square that you can find.
18 =
9  2 =
 2 = 3 2
75 =
25  3 =
 3 = 5 3
32 =
16  2 =
 2 = 4 2
200 = 100  2 =
 2 = 10 2
b) Try these:
3)
_______
4)
_______
1) 72 _______
2) 12 _______
7)
_______
5) 27 _______
6) 8 _______
8) 45 _______
47

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