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Radical Operations Review

Radical Operations Review

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Hard

•
CCSS
HSN.RN.A.2, HSA.REI.A.2, HSN.CN.A.3

Standards-aligned

Created by

Shannon Berkner

Used 15+ times

FREE Resource

7 Slides • 24 Questions

1

Radical Operations Review

by Mrs. Berkner

2

media

3

Multiple Choice

Simplify  √48

1
4√2
2
6√3
3
4√3
4
4√2

4

media

5

Multiple Choice

Simplify:
3√16
1
12
2
48
3
√12
4
3√4

6

Multiple Choice

Simplify the radical:  10√20

1
5√20
2
20√5
3
4√5
4
40√5

7

Multiple Choice

Question image
SIMPLIFY:
1
A
2
B
3
C
4
D

8

Multiple Choice

Simplify

√45n3
1
3n√5n
2
4n√8
3
4n√-8
4
10√n

9

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10

Multiple Choice

Question image
1
√18 + 11√2
2
22√5
3
11√20
4
14√2

11

Multiple Choice

227+83+582\sqrt{27}+8\sqrt{3}+5\sqrt{8}  

1

24324\sqrt{3}  

2

243+5824\sqrt{3}+5\sqrt{8}  

3

143+10214\sqrt{3}+10\sqrt{2}  

12

Multiple Choice

1045−2010\sqrt{45}-\sqrt{20}  

1

32532\sqrt{5}  

2

88588\sqrt{5}  

3

28528\sqrt{5}  

13

Multiple Choice

Question image
1
13√3
2
10√30
3
13√6
4
11√3

14

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15

Multiple Choice

Multiply 52⋅4105\sqrt{2}\cdot4\sqrt{10}  

1

202020\sqrt{20}  

2

104010\sqrt{40}  

3

40540\sqrt{5}  

4

9139\sqrt{13}  

16

Multiple Choice

Multiply   5(3−6)\sqrt{5}\left(3-\sqrt{6}\right)  

1

15−30\sqrt{15}-\sqrt{30}  

2

35−303\sqrt{5}-\sqrt{30}  

3

−15-\sqrt{15}  

4

15−18\sqrt{15}-\sqrt{18}  

17

Multiple Choice

Expand (42−23)(52−3)\left(4\sqrt{2}-2\sqrt{3}\right)\left(5\sqrt{2}-\sqrt{3}\right)  

1

202−146+2320\sqrt{2}-14\sqrt{6}+2\sqrt{3}  

2

46−14646-14\sqrt{6}  

3

32632\sqrt{6}  

4

40−146+6340-14\sqrt{6}+6\sqrt{3}  

18

Multiple Choice

Expand    (10−32)(10+32)\left(10-3\sqrt{2}\right)\left(10+3\sqrt{2}\right)  

1

82−282-\sqrt{2}  

2

20−6220-6\sqrt{2}  

3

100−602100-60\sqrt{2}  

4

82

19

Multiple Choice

Question image

Find the area of the rectangle

1

11

2

22 −3622\ -3\sqrt{6}

3

22+42−2622+\sqrt{42}-2\sqrt{6}

4

34+11634+11\sqrt{6}

20

​Rationalizing the Denominator

​If the denominator is monomial, multiply top and bottom by the radical

​

​​​IF the denominator is a binomial, multiply the top and bottom by the conjugate

21

Multiple Choice

Rationalize the denominator: 523\frac{\sqrt{5}}{2\sqrt{3}}  

1

156\frac{\sqrt{15}}{6}  

2

1518\frac{\sqrt{15}}{18}  

3

536\frac{5\sqrt{3}}{6}  

4

5318\frac{5\sqrt{3}}{18}  

22

Multiple Choice

Rationalize the denominator: 7347\frac{7\sqrt{3}}{4\sqrt{7}}  

1

72128\frac{7\sqrt{21}}{28}  

2

721196\frac{7\sqrt{21}}{196}  

3

2128\frac{\sqrt{21}}{28}  

4

214\frac{\sqrt{21}}{4}  

23

Multiple Choice

Question image
1
A
2
B
3
C
4
D

24

Multiple Choice

What is the conjugate of: 5+75+\sqrt{7}  

1

18

2

5+75+\sqrt{7}  

3

5−75-\sqrt{7}  

4

32

25

Multiple Choice

What should you multiply 61−5\frac{6}{1-\sqrt{5}}  by to rationalize the denominator?

1

-4

2

1−51-\sqrt{5}  

3

1+51+\sqrt{5}  

4

−(3−35)2-\frac{\left(3-3\sqrt{5}\right)}{2}  

26

Multiple Choice

Rationalize the following: 23+5\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}  

1

6−108\frac{\sqrt{6}-\sqrt{10}}{8}  

2

6−10−2\frac{\sqrt{6}-\sqrt{10}}{-2}  

3

6+108\frac{\sqrt{6}+\sqrt{10}}{8}  

4

23+25−2\frac{2\sqrt{3}+2\sqrt{5}}{-2}  

27

Multiple Choice

−21+6\frac{-2}{1+\sqrt{6}}  Rationalize the following:

1

1+6−2\frac{1+\sqrt{6}}{-2}  

2

−2+26−5\frac{-2+2\sqrt{6}}{-5}  

3

−266-\frac{2\sqrt{6}}{6}  

4

−26-2\sqrt{6}  

28

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29

Multiple Choice

Question image

Solve

1

v = -14

2

v = 14

3

No Solution

4

v = 28

30

Multiple Choice

Question image

Solve.

1

No Solution

2

a = 6

3

a = 3

4

a = 4

31

Multiple Choice

Question image

Solve the radical equation. Don't forget to check your answers!

1

No solution

2

33

3

61

4

47

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Radical Operations Review

by Mrs. Berkner

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