WorksheetsSimplifying Radicals
Total questions: 30
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
2.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
3.
√169
a)
√13
b)
13
4.
Simplify:
√200
√200
a)
10√2
b)
2√10
c)
50√2
d)
2√50
5.
Simplify −1
a)
x
b)
1
c)
i
d)
-1
6.
Simplify −4
a)
2x
b)
2
c)
2i
d)
-2
7.
Simplify −25
a)
5i5
b)
25i
c)
i5
d)
5i
8.
Simplify 50x4
a)
25x22
b)
5x2
c)
25x2
d)
5x22
9.
75x2
a)
5x23
b)
5x
c)
5x3x
d)
5x3
10.
√16
a)
4
b)
8
c)
16
d)
64
11.
√121
a)
11
b)
12
c)
21
d)
121
12.
Simplify √18
a)
3√2
b)
9√2
c)
3√9
d)
2√3
13.
a)
2i√6
b)
8i√3
c)
-2√6
d)
-2i√6
14.
a)
6i√5
b)
-8√5
c)
8i√5
d)
-8i√5
15.
−−15
a)
−15
b)
−15i
c)
−i15
d)
15
16.
Simplify 2√-32
a)
2i√32
b)
4i√2
c)
8i√2
d)
-16i√2
17.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
18.
Why do we get imaginary numbers?
a)
When a square root has a positive on the outside
3x214xb)
When a square root has a negative on the outside −3x214x
c)
When a square root has a positive on the inside 14
d)
When a square root has a negative on the inside −14
19.
What letter usually represents an imaginary number?
a)
a
b)
i
c)
j
d)
x
20.
To simplify 125 what would you break it into?
a)
25×5
b)
100×5
c)
25×6
d)
25×4
21.
a)
x3√x
b)
7x√x2
c)
x6√x
d)
√x
22.
In simplest radical form,
√75 is equivalent to
√75 is equivalent to
a)
25√3
b)
25√3
c)
5√3
d)
3√5
23.
Simplify:
a)
1/5
b)
20/100
c)
2/10
d)
1/√25
24.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
25.
65
a)
Is a perfect square.
b)
Is not a perfect square.
26.
Simplify:
√40
√40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
27.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
28.
Simplify using the imaginary number i
−49
a)
49i
b)
−49i
c)
7i
d)
−7i
29.
Simplify √-28
a)
-√28
b)
-2i√7
c)
2i√7
d)
28i
30.
Simplify √-4
a)
2i
b)
-2i
c)
2
d)
4i
100 %
