Algebra 2
12.1 Perfect Squares/Cubes
Name________________________
Period 1 2 3 4 5 6 7
NOTES:
List the perfect squares from 1 – 15.
12 = 1
1
=1
92 =
=
22 = 4
4
=2
102 =
=
32 =
=
112 =
=
42 =
=
122 =
=
52 =
=
132 =
=
62 =
=
142 =
=
72 =
=
152 =
=
82 =
=
Find the square root.
a.

b.
121
c.
1

d.
169

81  9

If the number under the radical sign is negative, the answer is _________________
A perfect cube is when a number under a cube root sign has a number multiplied by itself 3
times that equals it.
38
= 2 2 2 so the 3 8 = 2
3 343
Reference Glencoe Textbook: Page P7 Chapter 0-2
= 7 7 7 so the 3 343 = 7
List the perfect cubes from 1 – 10.
31
=1
3
38
=2
3
=6
3
=3
3
=7
3
=4
3
=8
=5
3
=9
3
= 10
Is it possible to take a cube root of a negative number?
3  27
Test it out?
Find the CUBE ROOT.
a.

b.
125
3
c.
8
43 216
d.
36  3 - 64

Estimate the SQUARE ROOTS and CUBE ROOTS to the nearest tenth.
a.

3
b.
33
c. 3 200
85

Reference Glencoe Textbook: Page P7 Chapter 0-2

d. 3 30

Algebra 2
12.1 Perfect Squares/Cubes
ASSIGNMENT:
Name________________________
Period 1 2 3 4 5 6 7
Simplify the following SQUARE ROOTS ~ write no solution if it can’t be simplified





1.
100
5.
16
9.
4  81
13.
3
27
17.
3
1000




2.
64
6.
121
10.
225  16
14.
3
1
18.
3
64

81  3  64



25
7.
36  16
16  9
11.
15.
3
8
19.
3
27  8



Simplify the following radicals
21.

3.
144  3  216
22.


4.
1
8.
25  9
36 4
12.
16.
3
27
20.
3
1  125

23.
4 9 38
C Level (#21-24)
24.
6 25  3 125
Estimate the following SQUARE roots and CUBED roots. Round your answer to the nearest tenth.
25.
10 is between
27.
55 is between
and
and
Reference Glencoe Textbook: Page P7 Chapter 0-2
26.
28 is between
28.
120 is between
and
and
29. The approximate decimal value of
a. 2
b. 2.2
c. 2.8
d. 3
31.
3
30 is between
3
30. The approximate decimal value of
a. 7
b. 7.2
c. 7.7
d. 8
5
32.
and 3
3
120 is between
3
RANDOM ANSWER KEY
10
4
-10
1
No Real
Solution
11
24
15
18
60
No Real
Solution
12
5
1
-2
8
No Real
Solution
3
-6
3.2
5
-3
10
7.4
5.3
6
10.9
25
b
c
Reference Glencoe Textbook: Page P7 Chapter 0-2
4.9
3.1
and 3
60