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Worksheets

Parts of Radicals

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Identify the parts of the radical

2.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
3.

Solve

a)

v = -14

b)

v = 14

c)

No Solution

d)

v = 28

4.

Solve.

a)

no solution

b)

6

c)

3

d)

4

5.

Identify parts of the radical expression: 5x35\sqrt{x^3}

a)

5: Coefficient; x3: Radicand; Radical symbol5:\ Coefficient;\ x^3:\ Radicand;\ \sqrt{ }Radical\ symbol  

b)

5: index; x3: degree; : radicand5:\ index;\ x^3:\ \deg ree;\ \sqrt{ }:\ radicand  

c)

5: radicand; x3: index; Radical symbol5:\ radicand;\ x^3:\ index;\ \sqrt{ }Radical\ symbol  

d)

: Radical Symbol; x3: Degree; 5: Index\sqrt{ }:\ Radical\ Symbol;\ x^3:\ Degree;\ 5:\ Index  

6.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

7.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

8.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

9.
a)
A
b)
B
c)
C
d)
D
10.

Solve the radical equation

a)

25

b)

50

c)

125

d)

5

11.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

12.

Simplify:

a)

√12

b)

(4√3)/3

c)

√3

d)

(2√3)/3

13.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

14.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

15.

√75x²

a)

5x²√3

b)

5x

c)

5x√3x

d)

5x√3

16.

√500x8y2

a)

10x⁴y√5

b)

10x⁴y²√5

c)

50x⁴y

d)

100x⁴y√5

17.

√3

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D