WorksheetsSimplifying Radicals Review
Total questions: 32
Worksheet time: 2hrs 29mins
Name
Class
Date
1.
Simplify the radical - 3√27
a)
9
b)
9√3
c)
3√9
d)
3
2.
Simplify the radical - 10√20
a)
5√20
b)
20√5
c)
4√5
d)
40√5
3.
Simplify the radical - 6√90
a)
10√8
b)
10√18
c)
18√10
d)
18√9
4.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
5.
What is the simplified form of √140
a)
4√35
b)
10√14
c)
2√70
d)
2√35
6.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
7.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
8.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
9.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
10.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
11.
True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100
1, 4, 9, 27, 81, 100
a)
True
b)
False
12.
What is the square root symbol called?
a)
Radicand
b)
Radical
c)
The house
d)
It doesn't have a name
13.
√300 + √75
a)
15√3
b)
√375
c)
20√5
d)
16√5
14.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
15.
Simplify
-2√2 - 3√8 - √5
-2√2 - 3√8 - √5
a)
-8√2-√5
b)
-8√2-√9
c)
-14√3-√7
d)
-2√4-√3
16.
Simplify
2√27+3√3
2√27+3√3
a)
15√30
b)
5√3
c)
9√3
d)
9√8
17.
Simplify
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
18.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
19.
Simplify:
√10 ⋅ √45
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
20.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
21.
√3 × √15 =
a)
3√5
b)
5√3
c)
2√7
d)
√17
22.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
23.
(-2√7)(3√28)
a)
-6√14
b)
6√13
c)
-84
d)
-78
24.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
25.
Multiply the radicals
(-7+√3)(4+√3)
(-7+√3)(4+√3)
a)
-21-3√3
b)
37+11√3
c)
21-3√3
d)
21+11√3
26.
Perform the operation. Express your answer in simplest form.
a)
(2x3y√30)/(y4√3x)
b)
(2x3√30)/(y3√3x)
c)
(2x2√10x)/(y3)
d)
(2x2√5x)/(y3)
27.
Perform the operation. Express your answer in simplest form.
a)
(2k√2)/(3k4)
b)
(2√2)/(3k3)
c)
(2k2√2)/(3k6)
d)
(4k2√2)/(9k6)
28.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
29.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
100 %
