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WorksheetsReview Radicals Activity
Total questions: 35
Worksheet time: 3hrs 2mins
Name
Class
Date
1.
Simplify the radical...
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
2.
Simplify
√45n3
√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
3.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
4.
Simplify
a)
A
b)
B
c)
C
d)
D
5.
Simplify
-11√21 - 11√21
-11√21 - 11√21
a)
0
b)
-22√21
c)
√21
d)
Already simplified
6.
Simplify:
a)
2x√14x
b)
4x√14x
c)
2x√14x3
d)
4x√14x3
7.
Simplify the expression:
a)
-15 + 8√9
b)
9
c)
2 + 8√3 + 6√6
d)
9 + 14√3
8.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
14.
Divide and simplify.
a)
4x√x
b)
3x2/x3√36
c)
2x
d)
4x2
15.
Rationalize the denominator.
a)
2x3
b)
(x√35x) / 5
c)
(x√7x) / 25
d)
49x7y / 5
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
Step 1: square both sides
b)
Step 1: divide both sides by 3
c)
Step 1: subtract 7 from both sides
d)
Step 1: Multiply both sides by 3
20.
Question 3
a)
20
b)
11
c)
4
d)
-2
21.
Question 6. Solve.
a)
-5
b)
5
c)
10
d)
25
22.
(x+3)2=81
a)
-9 and 9
b)
-6 and 6
c)
-12 and 6
d)
6 and 9
23.
Simplify
-10√7 + 12√7
-10√7 + 12√7
a)
-2
b)
-2√7
c)
2√7
d)
Already simplified
24.
Simplify
3√5 + √20 - √45
3√5 + √20 - √45
a)
3√-20
b)
2√-20
c)
3√5
d)
2√5
25.
-3√80a7
a)
4a³√5a
b)
-12a³√5a
c)
-3a³√5a
d)
-48a³√5a
26.
simplify
a)
b = -2
b)
b = 6
c)
b = 0
d)
b = 32
27.
Simplify
a)
v = 10
b)
v = 0
c)
v = 56
d)
v = 4
28.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
29.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
30.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
31.
(7uv2)-5
a)
-35uv-10
b)
-5/7uv2
c)
1/75u5v10
d)
1/7uv10
32.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
33.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
34.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
35.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
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