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WorksheetsSolve Square Roots
Total questions: 25
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
Solve by taking square roots:
5m2 + 1 = 6
5m2 + 1 = 6
a)
m = 0
b)
m = 1 or -1
c)
m = √7
d)
m = 7/5 m = -7/5
2.
Solve by taking square roots:
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solutionb
3.
Solve by taking square roots:
3 + 9r2 = 12
3 + 9r2 = 12
a)
r = 0
b)
no solution
c)
r = 3, r = -3
d)
r = 1, r = -1
4.
Solve using square roots.
a)
±72
b)
±12
c)
12
d)
No real solution
5.
Solve by taking square roots:
k2 - 6 = 43
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
6.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
7.
Solve by taking square roots:
k2 - 6 = 43
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
8.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
9.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
10.
Solve for x x2 - 4 = 76
a)
x = 4 , -4
b)
x = 4√5 , -4√5
c)
x = 80 , x = -80
d)
x = 5√4 or -5√4
11.
2x2= 30
a)
x= √5
b)
x= √30
c)
x= √15
d)
x= ±5
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
-5x2 = -50
a)
± 5
b)
± 10
c)
± √10
d)
-10
18.
x2 + 4 = 68
a)
± 8
b)
± √8
c)
8
d)
± 64
19.
Solve using square roots.
a)
± 1/4
b)
± 9/36
c)
± 1/2
d)
No real solution
20.
3x2 - 1 = 14
a)
5
b)
-√5
c)
-√5, √5
d)
√5
21.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
22.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
23.
5√80
a)
20√5
b)
4√5
c)
5√20
d)
4√5
24.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
25.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
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