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Worksheets

Roots - Basic Exercises

Total questions: 30

Worksheet time: 45mins

Name
Class
Date
1.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
2.
√72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
3.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
4.
5√80
a)
20√5
b)
4√5
c)
5√20
d)
4√5
5.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
6.
a)
-5√1
b)
8√2 + 13√3
c)
21√5
d)
20√5
7.
a)
17√2
b)
9√1
c)
9
d)
9√2
8.
a)
13√3
b)
10√30
c)
13√6
d)
11√3
9.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
10.
Simplify:
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
11.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

12.
Simplify: √28 * √3
a)
√84
b)
2√21
c)
4√21
d)
2√7 * √3
13.
Simplify: 2√7 + √28
a)
7√4
b)
4√14
c)
4√7
d)
9√7
14.
Simplify:
a)
4√30
b)
√4√30
c)
√2√30
d)
2√30
15.
Simplfiy
a)
5√2
b)
0
c)
2√2
d)
-3√2
16.
Simplify
-2√5+3√20
a)
-2√8
b)
-6√36
c)
-6√-12
d)
 4√5
17.
√3 × √15 =
a)
3√5
b)
5√3
c)
2√7
d)
√17
18.
Simplify completely.
a)

√8

b)
2
c)
2√2
d)

-1

19.

5 48x2=5\ \sqrt[]{48x^2}=  

a)
10x√3
b)
15x√3
c)
20x√3
d)
25x√3
20.
Simplify: (√27)/(6√3)
a)
1/3
b)
3√3
c)
1/2
d)
1/(2√3)
21.
Simplify: (7√3)²
a)
147
b)
21
c)
63
d)
49√9
22.
(3√19)²
a)
57
b)
171
c)
9√19
d)
114
23.
Simplify the expression:
a)
8√6
b)
6√6
c)
8√5
d)
64√6
24.

SImplify:

a)

5√6

b)

25√6

c)

√150

d)

10√15

25.

Simplify the expression

a)

100√2

b)

5√160

c)

20√10

d)

It's already simplified

26.

Simplify the expression

a)

49

b)

7

c)

√98/√2

d)

It's already simplified

27.

Simplify the expression

a)

45/2

b)

(3√5)/4

c)

(3√5)/2

d)

It's already simplified

28.

Simplify the expression

a)

9√33

b)

9√11

c)

8√11

d)

They aren't like terms

29.

Give the domain of the following expression on the real number set:

5−10x\sqrt[]{5-10x}  

a)

x = 0.5

b)

x ≥0.5x\ \ge0.5  

c)

x<0.5x<0.5  

d)

x≤0.5x\le0.5  

30.

Simplify x7x2\frac{\sqrt{x^7}}{\sqrt{x^2}}  

a)

x5x^5  

b)

xxx\sqrt{x}  

c)

x2xx^2\sqrt{x}  

d)

x\sqrt{x}