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Radicals - Pre Unit Evaluation

Total questions: 12

Worksheet time: 35mins

Name
Class
Date
1.

Simplify the radical expression: √(25)

a)

-5

b)

25

c)

√(5)

d)

5

2.

Simplify the radical expression: 3493\sqrt[]{49}

a)

147

b)

349

c)

7

d)

21

3.

Simplify the radical expression: −124-12\sqrt[]{4}

a)

-24

b)

-48

c)

48

d)

24

4.

Determine the largest perfect square that divides out of 20\sqrt[]{20}

a)

4

b)

5

c)

20

d)

1

5.

Given the expression 12\sqrt[]{12}

determine the largest perfect square that divides out of it and what the other factor would be, respectively

a)

2,6

b)

4,3

c)

3,4

d)

1,12

6.

Add the radical expressions: √(9) + √(16)

a)

7

b)

10

c)

5

d)

3

7.

Add the radical expressions: √(25) + √(36)

a)

7

b)

11

c)

61

d)

13

8.

Subtract the radical expressions: √(49) - √(16)

a)

3

b)

-7

c)

5

d)

0

9.

Subtract the radical expressions: √(64) - √(25)

a)

-6

b)

3

c)

9

d)

0

10.

Multiply the radical expressions: √(4) * √(9)

a)

6

b)

2

c)

36

d)

12

11.

Evaluate 50\sqrt[]{50} to determine which simplified radical is the same value.

a)

252\sqrt[]{5}

b)

5105\sqrt[]{10}

c)

525\sqrt[]{2}

d)

10510\sqrt[]{5}

12.

Explain how you think 135 becomes 315\sqrt[]{135}\ becomes\ 3\sqrt[]{15}

(a)