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Worksheets

Big Ideas Radicals

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

3.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

4.

Simplify:

a)

√12

b)

(4√3)/3

c)

√3

d)

(2√3)/3

5.

Given the following radical, decide if it is rational or irrational:
√8

a)

Rational

b)

Irrational

6.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

7.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

8.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

9.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

10.

Q1. What is the value of the expression?

a)

8√6

b)

8√12

c)

12√6

d)

12√12

11.

 Simplify:   2√40 - 3√10 

a)

5√10

b)

√10

c)

-√30

12.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

13.

Solve

a)

d = 12

b)

d = -3 or d = 4

c)

d = -3

d)

d = 4

14.

Solve.

a)

y = 3

b)

y = -3

c)

y = -1

d)

No Solution

15.

Solve.

a)

a = 1 or a = 6

b)

a = 1

c)

a = 6

d)

No Solution

16.

Solve.

a)

a = 20

b)

a = -20

c)

a = 4

d)

No Solution

17.

Solve the radical equation

a)

25

b)

50

c)

125

d)

5

18.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

19.

Solve.

a)

y = 2

b)

y = -¾

c)

y = 2 or y = -¾

d)

y = 3