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WorksheetsRadicals Review 1-26-17
Total questions: 100
Worksheet time: 6hrs 49mins
Name
Class
Date
1.
Simplify
a)
A
b)
B
c)
C
d)
D
2.
Simplify
a)
A
b)
B
c)
C
d)
D
3.
Simplify
a)
A
b)
B
c)
C
d)
D
4.
Simplify
-2√5+3√20
-2√5+3√20
a)
-2√8
b)
-6√36
c)
-6√-12
d)
4√5
5.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
6.
√144
a)
2
b)
12
c)
16
d)
15
7.
2√5 - √5 + 4√5 + √3
a)
6√5 + √3
b)
5√5 + √3
c)
6√5
d)
6√3
8.
Which is the highest perfect square factor of 200?
a)
4
b)
25
c)
100
d)
50
9.
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
10.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
11.
Find the area of the rectangle shown.
a)
18√20
b)
12√10 + 6√2
c)
9√12
d)
36√5
12.
a)
A
b)
B
c)
C
d)
D
13.
Hint: Rationalize the denominator by multiplying by √3 on the top and bottom.
a)
A
b)
B
c)
C
d)
D
14.
Simplify
a)
√5
b)
-3√6
c)
√6
d)
6
15.
The square roots of all perfect squares are___________?
a)
integers or whole numbers
b)
irrational
c)
fractions
d)
divisible by 2
16.
The perimeter of a rectangle is 8√8 feet and the width is 4√2 feet. How long is the length?
a)
4√6
b)
4√2
c)
12√2
17.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
18.
Simplify
a)
9
b)
5√2 + 2
c)
10√2
d)
2√2 + 3√30
19.
Simplify:
a)
2
b)
4√3
c)
2√3
d)
4
20.
Simplify:
a)
(√2)/3
b)
5√2
21.
Simplify:
a)
(√2)/4
b)
3√3
c)
6/(4√3)
d)
(√3)/2
22.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
23.
Given the following radical, decide if it is rational or irrational:
√16
√16
a)
Rational
b)
Irrational
24.
Given the following radical, decide if it is rational or irrational:
√8
√8
a)
Rational
b)
Irrational
25.
√8 - 6√2
a)
-4√2
b)
2√2
c)
-6√6
d)
-6√10
26.
Simplify
a)
( √36 / √64 )
b)
6/8
c)
3/4
d)
( √36 / 2√4 )
27.
Find the sum of √8 and 2√50.
a)
12√2
b)
13√5
c)
13√2
d)
15√5
28.
Put in simplest form.
a)
9
b)
-9
c)
27
d)
-27
29.
(3√19)²
a)
57
b)
171
c)
9√19
d)
114
30.
a)
A
b)
B
c)
C
d)
D
31.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
-4
32.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
33.
What is the cube root of 64?
a)
2
b)
4
c)
8
d)
16
34.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
35.
How do we say 73?
a)
7 squared
b)
7 cubed
c)
3 to the 7th power
d)
7 times 3
36.
142 is called ________
a)
14 cubed
b)
14 squared
c)
14 to the 14th power
d)
28
37.
√169
a)
10
b)
11
c)
12
d)
13
38.
–√25
a)
5
b)
-5
c)
±5
d)
None
39.
∛64
a)
3
b)
2
c)
4
d)
5
40.
In the picture, the "3" is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
41.
The number inside the radical is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
42.
∛-8
a)
2
b)
-2
c)
±2
d)
None
43.
Find the cube root(s).
a)
25/9
b)
-25/9
c)
-5/3
d)
none
44.
Find the square root(s).
a)
±⅙
b)
-⅓
c)
-⅙
d)
none
45.
Evaluate the expression.
a)
3
b)
4
c)
-3
d)
-4
46.
Evaluate the expression.
a)
18
b)
5
c)
138
d)
no solution
47.
61 − 2∛-125
a)
71
b)
51
c)
64
d)
59
48.
5∛-64 + 45
a)
48
b)
46
c)
25
d)
65
49.
Find the cube root.
a)
-1
b)
1
c)
11
d)
111
50.
Rationalize the ratio 6 ⁄ √5
a)
30 ∕ 5
b)
6√5 ∕ 5
c)
6√5
d)
30
51.
Simplify
a)
9i/5
b)
2i
c)
8i/5
d)
13i/5
52.
Simplify
a)
(-7-3i)/10
b)
(-4-3i)/7
c)
6i/7
d)
(4i-3)/7
53.
Simplify
a)
-4-6i
b)
(-15i+8)/4
c)
(-4+8i)/15
d)
(-4i+8)/15
54.
Simplify
a)
17i
b)
15i
c)
4i-10
d)
2i-10
55.
Simplify
a)
(-10+6i)/17
b)
(-8+15i)/17
c)
(-23+36i)/25
d)
(-21+33i)/34
56.
Simplify
a)
(-8i+1)/10
b)
(8+i)/11
c)
(34-77i)/109
d)
(21-38i)/58
57.
Simplify
a)
(-10+6i)/17
b)
(-8+15i)/17
c)
(-23+36i)/25
d)
(-21+33i)/34
58.
Simplify
a)
(27-3i)/82
b)
(-45+87i)/82
c)
(-6+9i)/10
d)
(-49+87i)/82
59.
Simplify:
3√-81
3√-81
a)
-27
b)
3i√3
c)
27i
d)
9i
60.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
61.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
62.
Multiply 2i(3-8i)
a)
16-6i1
b)
16+6i
63.
What is the conjugate of 3x+1
a)
-3x+1
b)
3x-1
c)
-3x-1
64.
(7-5i)(7+5i)
a)
74
b)
75
c)
74-1
65.
Divide.
a)
A.
b)
B.
c)
C.
d)
D.
69.
Simplify the expression:
a)
-15 + 8√9
b)
9
c)
2 + 8√3 + 6√6
d)
9 + 14√3
67.
Simplify the expression:
a)
11√5 + 2∛5
b)
√365 + ∛40
c)
13√5
d)
9√5
68.
Simplify the expression:
a)
√2 - 3√3
b)
2√-59
c)
-2√2 - 3√3
d)
-3.782
69.
Simplify the expression:
a)
-15 + 8√9
b)
9
c)
2 + 8√3 + 6√6
d)
9 + 14√3
70.
Simplify the expression:
a)
1
b)
9 - 4√4
c)
6 + 2√2
d)
1 - 4√2
71.
Simplify the expression:
a)
12 - 3√10
b)
-18
c)
12 - 16√10 - 3√100
d)
-18 - 16√10
72.
What is the conjugate of the expression:
a)
2 + 3√7
b)
2 - 3√7
c)
-√7
d)
√7
73.
What is the conjugate of the expression:
a)
3 + 8√6
b)
3 - 8√6
c)
3 + 2√3
d)
-3 + 8√6
74.
What is the conjugate of the expression:
(3 - 8√6)
(3 - 8√6)
a)
3 + 8√6
b)
3 - 8√6
c)
3 + 2√3
d)
-3 + 8√6
75.
(√6)(√2)
a)
√12
b)
2√3
c)
√8
d)
4√3
76.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
77.
To multiply radicals, they must have te same index.
a)
True
b)
False
78.
The like radicals have the same
a)
index
b)
radicand
c)
index and radicand
d)
none of thes
79.
The expression 3 ∕ ∛3 is equivalent to
a)
∛9
b)
∛3
c)
3
d)
none of these
80.
What is any number of the form a+bi, where a and b are real numbers and i is the imaginary unit?
a)
Real Numbers
b)
Irrational Numbers
c)
Complex Numbers
d)
Whole Numbers
81.
What is any number that can be written in the form ai, where a is any real number and i is the imaginary unit?
a)
Complex Numbers
b)
Imaginary Numbers
c)
Irrational Numbers
d)
Whole Numbers
82.
What is equal to the square root of −1 and has a symbol of i?
a)
Imaginary Unit
b)
Imaginary Number
c)
Radical Equation
d)
Perfect Square
83.
What type of equation contains at least one radical expression with a variable in the radicand?
a)
Quadratic Equation
b)
System of Equations
c)
Linear Equation
d)
Radical Equation
84.
What is a factor of a number that when multiplied by itself results in the number?
a)
Radical Sign
b)
Product
c)
Cubes
d)
Square Root
85.
What is the vertical line that separates the graph of a quadratic function into two halves that are reflections of each other?
a)
Vertical Line Test
b)
Axis of Symmetry
c)
Y-Axis
d)
X-Axis
86.
What is a value used to determine the number and types of roots for a given polynomial? It is written as b2−4ac for a quadratic equation in standard form.
a)
Conjugate pair
b)
Perfect Square
c)
Discriminant
d)
Extraneous Solution
87.
A quadratic function can be written as f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. This is called the ______ form.
a)
Radical
b)
Parabola
c)
Vertex
88.
What is a pair of complex numbers who have the same real and imaginary parts, but the imaginary pats have opposite signs?
a)
Conjugate Pair
b)
Coordinate Pair
89.
What is an expression that has a square root, cube root, etc. and the symbol is √
a)
Radical
b)
Perfect Square
c)
Cube Root
d)
Square Root
90.
The graph of a quadratic equations is a________.
a)
S curve
b)
Line
c)
Parabola
91.
This results in a s shaped graph.
a)
Quadratic
b)
Cubes
c)
Squares
92.
What is a number made by squaring a whole number.
a)
Perfect Square
b)
Square Root
c)
Cube Root
93.
Which fraction needs to be rationalized?
a)
√(11/5)
b)
8/√6
c)
√(9/10)
d)
All of them need to be rationalized.
94.
Simplify
-2√5+3√20
-2√5+3√20
a)
-2√8
b)
-6√36
c)
-6√-12
d)
4√5
95.
2√5 - √5 + 4√5 + √3
a)
6√5 + √3
b)
5√5 + √3
c)
6√5
d)
6√3
96.
True or false? 9² is 18
a)
True
b)
False
97.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
98.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
99.
-2√45 - 3√20
a)
12√5
b)
-12√5
c)
-5√25
d)
-5
100.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
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