Adding, Subtracting, Multiplying Radicals

Kuta Software - Infinite Algebra 2

Adding, Subtracting, Multiplying Radicals

Name___________________________________ Date________________ Period____

Simplify.

1) -5 3 - 3 3

2) 2 8 - 8

3) -4 6 - 6

4) -3 5 + 2 5

5) -3 27 - 3 27 - 3 27

6) -3 12 + 3 3 + 3 20

7) -2 45 - 3 20 - 2 6

6

6

6

8) -3 3 - 2 192 - 320

3

3

3

9) -3 -3 + 2 162 + 3 81

6

4

6

6

10) 4 3 + 2 32 - 3 192 - 2 192

3

3

3

3

11) - 320 - 4 5 + 2 135 + 2 16

3

6

3

6

12) 2 6 - 6 + 3 6 - 3 384

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Worksheet by Kuta Software LLC

3

3

13) 3 -20

15) 6 2

17) 3 3(4 - 3 5)

14) 5 3

3

3

16) 3 9

18) 4 15(-3 6 + 5)

19) 4 15( 6 + 5)

20) - 2( 10 - 4 6)

21) 15(2 10 - 4 6)

22) (-7 + 3x )(4 + 3x )

23) ( 2a - 5)(7 2a - 5)

24) (2 + 5)(-2 + 5k )

25) ( 3 + 5x )( 3 - 5 5x )

26) (7 + 6)(1 + 6)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Adding, Subtracting, Multiplying Radicals

Name___________________________________ Date________________ Period____

Simplify.

1) -5 3 - 3 3

2) 2 8 - 8

-8 3

22

3) -4 6 - 6 -5 6

4) -3 5 + 2 5 -5

5) -3 27 - 3 27 - 3 27 -27 3

6) -3 12 + 3 3 + 3 20 -3 3 + 6 5

7) -2 45 - 3 20 - 2 6 -12 5 - 2 6

6

6

6

8) -3 3 - 2 192 - 320

6

6

-7 3 - 2 5

3

3

3

9) -3 -3 + 2 162 + 3 81

3

3

12 3 + 6 6

6

4

6

6

10) 4 3 + 2 32 - 3 192 - 2 192

6

4

-6 3 + 4 2

3

3

3

3

11) - 320 - 4 5 + 2 135 + 2 16

3

3

-2 5 + 4 2

3

6

3

6

12) 2 6 - 6 + 3 6 - 3 384

3

6

5 6-7 6

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Worksheet by Kuta Software LLC

3

3

13) 3 -20

3

- 60

15) 6 2 23

17) 3 3(4 - 3 5)

12 3 - 9 15

14) 5 3 15

3

3

16) 3 9

3

18) 4 15(-3 6 + 5)

-36 10 + 20 15

19) 4 15( 6 + 5)

12 10 + 20 3

20) - 2( 10 - 4 6)

-2 5 + 8 3

21) 15(2 10 - 4 6)

10 6 - 12 10

22) (-7 + 3x )(4 + 3x )

-28 - 3 3x + 3x

23) ( 2a - 5)(7 2a - 5)

14a - 40 2a + 25

24) (2 + 5)(-2 + 5k )

-4 + 2 5k - 2 5 + 5 k

25) ( 3 + 5x )( 3 - 5 5x )

3 - 4 15x - 25x

26) (7 + 6)(1 + 6)

13 + 8 6

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Worksheet by Kuta Software LLC

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