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Worksheets

Perfect Radicals!

Total questions: 54

Worksheet time: 3585secs

Name
Class
Date
1.

Find the square root;

121\sqrt[]{121}  

(a)  

2.

Find the cube root

1253\sqrt[3]{125}  

a)

25

b)

-5

c)

5

d)

15

3.
121 = ______
a)
112
b)
12
c)
11
d)
112
4.
132 = ______
a)
225
b)
196
c)
169
d)
166
5.
256 = ______
a)
163
b)
162
c)
16
d)
15
6.

A cube has the volume of 27in3. What are the side lengths?

a)

9in

b)

3in

c)

27in

d)

2in

7.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

8.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

9.

A cube has the volume of 125in3. What are the side lengths?

a)

5in

b)

25in

c)

3in

d)

10in

10.

9=?\sqrt[]{9}=?  

(a)  

11.

4=?\sqrt[]{4}=?  

(a)  

12.

49=?\sqrt[]{49}=?  

(a)  

13.

100=?\sqrt[]{100}=?  

(a)  

14.

83=?\sqrt[3]{8}=?  

(a)  

15.

273=?\sqrt[3]{27}=?  

(a)  

16.

A perfect square is​ the​ (a)   of an integer and itself.

Choose from the below words
product
sum
difference
quotient
17.

What is 2 cubed?

23

a)

8

b)

6

c)

4

d)

16

18.

What is 5 cubed?

53

a)

125

b)

25

c)

15

d)

625

19.
∛8
a)
2
b)
4
c)
1
d)
64
20.
∛27
a)
3
b)
2
c)
4
d)
9
21.
∛64
a)
4
b)
5
c)
6
d)
3
22.
∛125
a)
5
b)
4
c)
6
d)
7
23.
∛1000
a)
10
b)
9
c)
8
d)
11
24.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
25.
In the picture, the "3" is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
26.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
27.

What is ∛1,000 ?

(a)  

28.

What is ∛729 ?

(a)  

29.

What is ∛343 ?

(a)  

30.

What is ∛27 ?

(a)  

31.

What is 4³ ?

(a)  

32.
What is 152?
a)
100
b)
121
c)
196
d)
225
33.

164\sqrt[4]{16}

(a)  

34.

6254\sqrt[4]{625}

(a)  

35.

2564\sqrt[4]{256}

(a)  

36.

814\sqrt[4]{81}

(a)  

37.

15\sqrt[5]{1}

(a)  

38.

325\sqrt[5]{32}

(a)  

39.

2435\sqrt[5]{243}

(a)  

40.

646\sqrt[6]{64}

(a)  

41.

7296\sqrt[6]{729}

(a)  

42.

1287\sqrt[7]{128}

(a)  

43.

2568\sqrt[8]{256}

(a)  

44.

25x2y25x^2y is the ​ (a)   . The index is ​ (b)   This expression is not a ​ (c)   root! The 3 means ​it is a (d)   root.

Choose from the below words
radicand
three.
square
cube
index
radical
fourth
No solution
45.

What is the index of this radical

x\sqrt{x}  

a)

1

b)

0

c)

2

d)

4

46.
What is the square root symbol called?
a)
Radicand
b)
Radical
c)
The house
d)
It doesn't have a name
47.
The number under the radical sign or square root sign  is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
48.

Name the radicand: amn\sqrt[n]{a^m}  

a)

nn  

b)

aa  

c)

mm  

d)

Cant do itCan't\ do\ it  

49.

Name the radicand: 1504\sqrt[4]{15^0}   

a)

  00  

b)

  1-1_{ }  

c)

  1515  

d)

  44  

50.

Name the index: 17230d\sqrt[]{17230^d}  

a)

dd  

b)

1723017230  

c)

22  

d)

Cant do itCan't\ do\ it  

51.

Name the exponent: amn\sqrt[n]{a^m}  

a)

nn  

b)

aa  

c)

mm  

d)

Cant do itCan't\ do\ it  

52.

Name the exponent: 19017\sqrt[17]{19^0}    

a)

  00  

b)

   11  

c)

   1717  

d)

    1919  

53.
In the picture, the "3" is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
54.

#1

The value or expression under the radical sign is called the…

a)

A Radical

b)

B Index

c)

C Radicand

d)

D Variable