WorksheetsSquare and Cube Roots
Total questions: 40
Worksheet time: 2hrs 0mins
Name
Class
Date
1.
What is √49
a)
6
b)
7
c)
8
d)
9
2.
Solve for p when p2 = 100.
a)
1,000
b)
±10
c)
0.10
d)
10
3.
Solve for x when x2 = 144
a)
±4
b)
±11
c)
±12
d)
±14
4.
Solve for x when x = (3/4)2
a)
x = 4/3
b)
x = 9/4
c)
x = 9/16
d)
x = 3/16
5.
Solve for x when x3 = 125
a)
5
b)
10
c)
15
d)
25
6.
Solve for x when x3 = 1/8
a)
x = 2
b)
x = 1/2
c)
x = 4
d)
x = 16
7.
If x3 = -27, then x equals
a)
-3
b)
-9
c)
+3 and -3
d)
+9 and -9
8.
A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?
a)
32 units
b)
16 units
c)
8 units
d)
4 units
9.
A square with side length s has an area of 0.81 square units. What is the length of the side of the square?
a)
0.9 units
b)
0.6561 units
c)
0.405 units
d)
0.3 units
10.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube?
a)
1 cm
b)
10 cm
c)
100 cm
d)
300 cm
11.
Select the answer with all perfect squares.
a)
-144, 9, 50, 75, 81, 100
b)
9, 50, 75, 81, 100
c)
9, 50, 81, 100
d)
9, 81,100
12.
THINK! Solve for x when √x = 22
a)
2
b)
4
c)
8
d)
16
13.
What is the square root of 81?
a)
7
b)
8
c)
9
d)
10
14.
√ 16
a)
8
b)
3
c)
4
d)
6
15.
What is -√25
a)
-5
b)
5
c)
±5
d)
-25
16.
√121
a)
9
b)
10
c)
11
d)
12
17.
What is the cube root of 1000?
a)
10
b)
100
c)
500
d)
20
18.
Solve x2+6=42
a)
±36
b)
±42
c)
±6
d)
±8
19.
6449
a)
4/8
b)
7/9
c)
3/8
d)
7/8
20.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
21.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
-4
22.
Rosy wants a large picture window put in the living room of her new house. The window is to be square with an area of 49 square feet. How long should each side of the window be?
a)
6
b)
7
c)
4.9
d)
5
23.
Solve for x.
x3 = 8
x3 = 8
a)
x = 24
b)
x = 2
c)
x = 2 ⅔
d)
x = 4
24.
Solve: (20)2+x2=36
a)
±5
b)
±6
c)
±4
d)
±7
25.
The area of a square painting is 81 cm2. What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
26.
–√25
a)
5
b)
-5
c)
±5
d)
None
27.
-∛8
a)
2
b)
-2
c)
±2
d)
None
28.
∛-8
a)
2
b)
-2
c)
±2
d)
None
29.
Find the square root(s).
a)
-½
b)
-⅗
c)
-⅙
d)
none
30.
Find the cube root(s).
a)
25/9
b)
-25/9
c)
-5/3
d)
none
31.
Find the square root(s).
a)
±⅙
b)
-⅓
c)
-⅙
d)
none
32.
Evaluate the expression.
a)
16
b)
13
c)
53
d)
30
33.
Evaluate the expression.
a)
3
b)
4
c)
-3
d)
-4
34.
Evaluate the expression.
a)
18
b)
5
c)
138
d)
no solution
35.
If a square has an area of 32 square inches, between which two whole numbers does it’s side length lie?
a)
4 and 5
b)
5 and 6
c)
6 and 7
d)
7 and 8
36.
Between which two whole numbers does √3 lie on a number line?
a)
0 and 1
b)
1 and 2
c)
2 and 3
d)
3 and 4
37.
Evaluate:
a)
2
b)
4
c)
3
d)
5
38.
True or false? 9² is 18
a)
True
b)
False
39.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
40.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
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