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Radicals practice

Total questions: 25

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
The number under the radical sign or square root sign  is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
2.
Which is the highest perfect square factor of 108?
a)
16
b)
49
c)
4
d)
36
3.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
4.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
5.
True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100
a)
True
b)
False
6.
What is the square root symbol called?
a)
Radicand
b)
Radical
c)
The house
d)
It doesn't have a name
7.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
8.
Simplify √30
a)
√15√2
b)
It's already simplified!
c)
15√2
d)
√6√5
9.
Simplify √74
a)
37√2
b)
2√37
c)
√74
d)
8√9
10.
65
a)
Is a perfect square.
b)
Is not a perfect square.
11.
169
a)
Is a perfect square.
b)
Is not a perfect square.
12.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
13.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3
14.
√45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
15.
√500x8y2
a)
10x⁴y√5
b)
10x⁴y²√5
c)
50x⁴y
d)
100x⁴y√5
16.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
17.
Simplify

√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
18.
a)
xy√y
b)
x²y²√y
c)
xy√xy
d)
2x2y√y
19.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
20.
5√48x²
a)
10x√3
b)
15x√3
c)
20x√3
d)
25x√3
21.
√36x³y⁴
a)
6y²x√x
b)
3y²√2x
c)
3y√x
d)
6x√3y
22.
√28m⁴n³
a)
m²n√7n
b)
7m²n√n
c)
2m²n√7n
d)
7m²n²√n
23.
√96p⁹
a)
4p³
b)
4p⁴√p
c)
4p⁴√6p
d)
4p⁴√2p
24.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
25.
Which is equivalent to √121p5r7s4?
a)
11prs √pr
b)
11p4r6s√pr
c)
11p2r3s√pr
d)
11p2r3s2