Mr. Sims
Algebra 1
Sect. 9.1
Square Roots
Find all square roots of the number.
1.
64
= 8 , -8
3. 121
= 11 , -11
what number multiplied
by itself equals 64
what number multiplied
by itself equals 121
2. 100
= 10 , -10
4.
1
4
what number multiplied
by itself equals 100
what number multiplied
by itself equals ¼
= ½ , -½
Mr. Sims
Find all square roots of the number.
5. .36
6. 81
16
= .6 , -.6
81

16
9 9
 ,
4 4
Mr. Sims
Evaluate the expression. Find the positive square root.
Round to nearest hundredth.
7.  256
= - (16)
= -16
10. 
1
49
8.
9.
11
= 3.32
11.
27
= 5.2
.09
= .3
12.
 25
= none
1

7
Mr. Sims
Evaluate
b 2  4ac for the given values of a, b, and c.
13. a = 4, b = 5, c = 1
14. a = 3, b = -7, c = 6
 52  4(4)(1)
 (7) 2  4(3)(6)
 25  16
 49  72
 9
  23
= 3
= undefined
Mr. Sims
Use a calculator to evaluate the expression. Round to the
nearest hundredth.
15.
25 6
2
2  5(2.45)

2
16.
find the square root of 6
2  12.25

2
73 2
2
7  3(1.41) find the square root of 2

2
7  4.23

2
7  4.23
7  4.23
or
2
2
2  12.25 2  12.25

or
2
2

14.25
 10.25

or
2
2
11.23
2.77

or
2
2
= 7.13 or -5.13
= -5.62 or -1.39
Mr. Sims
Find the cube roots.
3
17.
27
what number multiplied
by itself 3 times equals 27
= 3
19.
3
1000
= 10
18.
3
64
what number multiplied
by itself 3 times equals 64
= 4
20.
3
= 1
1
21.
3
8
= -2
Mr. Sims
Use the area, A, to find the length of the indicated
side or radius. (use π = 3.14)
s
area of a square = one side squared
s
27.04 = s2
s  27.04
A = 27.04
r
Area = 50.24
take square root of both sides
s = 5.2
area
radius of a circle 
π
50.24
r
3.14
 16 r = 4
Mr. Sims
12.2
(12.2)(12.2)
=148.84
Mr. Sims
27
≈ 5.2
Mr. Sims
Algebra 1
Sect. 9.1
Assignment
Find all square roots of the number.
1.) 144
3.) 25
16
2.) 0
4.) .25
Evaluate the expression. Find the positive square root. Round to the nearest hundredth.
5.) 49
10.) 
25
100
6.) 121
7.)  169
11.)
12.)
6.25
8.) 23
9.) .75
26
Evaluate b2  4ac for the given values of a,b, and c.
13.) a = -2, b = 8, c = -8
14.) a = 12, b = 13, c = 3
Mr. Sims
Use a calculator to evaluate the expression. Round to two decimal places.
15.) 3  4 5
4
16.) 5  6 3
3
Use the area, A, to find the length of the indicated side or radius. (Use π = 3.14)
17.) Square: s = A
18.) Circle: r =
A
π
s
s
r
A = 12.96
A = 153.86
Mr. Sims
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