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Solving Radical Equations: A Collection of Harder Problems - Prof. Errin E. White, Assignments of Algebra

Jacksonville State University (JSU)Algebra
Prof. Errin E. White

A collection of harder radical equations for students to practice solving without using calculators. The problems involve simplifying expressions with multiple radicals and performing operations such as subtraction, addition, and multiplication. Students are encouraged to multiply out and simplify the expressions manually.

Typology: Assignments

Pre 2010

Uploaded on 02/25/2010

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koofers-user-pjz ๐Ÿ‡บ๐Ÿ‡ธ

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5.2,3,4 โ€” Harder Radical Problems
E. White
Multiply out if needed and simplify. Do not use calculators.
(1) 4 โˆš8 (2) 3 โˆš8โˆ’2โˆš2
(3) 2 โˆš5๎˜โˆš10 โˆ’4โˆš5๎˜‘(4) 1
โˆš7
(5) ๎˜3โˆš20๎˜‘ ๎˜โˆ’5โˆš45๎˜‘(6) r3
5
(7) 4 โˆš44 โˆ’3โˆš11 (8) 3 โˆš75 โˆ’2โˆš12
(9) 3 โˆš3x๎˜2โˆš12 xโˆ’โˆš6x๎˜‘(10) โˆš7๎˜โˆš2 + โˆš5๎˜‘
(11) 3
โˆš2x
(12) ๎˜โˆš11 โˆ’โˆš7๎˜‘ ๎˜โˆš11 + โˆš7๎˜‘
(13) 3
โˆš16 x7(14) 1
1 + โˆš6
(15) โˆš12
โˆš10 (16) ๎˜โˆš2 + โˆš18๎˜‘2
(17) โˆš3x3p6x y2(18) 3
p24 x4y14
(19) 3โˆš12 x
6โˆš18 x3(20) 3 โˆš20 โˆ’2โˆš18
(21) 3
โˆš8x12 (22) 3
โˆš16 x10
(23) r10
6(24) ๎˜3โˆš8โˆ’2โˆš3๎˜‘ ๎˜5โˆš2 + โˆš3๎˜‘
(25) โˆš5
2โˆ’โˆš5(26) 3 โˆš5x๎˜2โˆš2xโˆ’9โˆš15๎˜‘
(27) 2 3
โˆš4๎˜33
โˆš4โˆ’73
โˆš2๎˜‘(28) 3
โˆš7โˆ’โˆš5
(29) ๎˜3โˆ’โˆš11๎˜‘ ๎˜3 + โˆš11๎˜‘(30) 8 3
p81 x8y4
(31) 3โˆš7
2โˆ’3โˆš7(32) โˆšx
โˆšxโˆ’2โˆšy
(33) ๎˜12 โˆš6๎˜‘ ๎˜2โˆš12๎˜‘(34) 3
3
โˆš4
(35)
3
โˆš2
3
โˆš32 x5(36)
3
โˆš6y
3
p4y5
pf2

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Download Solving Radical Equations: A Collection of Harder Problems - Prof. Errin E. White and more Assignments Algebra in PDF only on Docsity!

5.2,3,4 โ€” Harder Radical Problems

E. White

Multiply out if needed and simplify. Do not use calculators.

3 x

12 x โˆ’

6 x

2 x

16 x^7 (14)

3 x^3

6 x y^2 (18) 3

24 x^4 y^14

12 x

6

18 x^3

8 x^12 (22)

16 x^10

5 x

2 x โˆ’ 9

3

81 x^8 y^4

x โˆš x โˆ’ 2

y

32 x^5

โˆš (^36) y

3

4 y^5

Answers: (1) 8

3 (9) โˆ’ 9 x

2 + 36 x (10)

2 x

2 x

(12) 4 (13) 2 x^2

2 x

(16) 32 (17) 3 x^2 y

2 (18) 2 x y^4

3

3 x y^2 (19)

6 x

2 (21) 2 x

4 (22) 2 x

3 โˆš^3

2 x (23)

3 x + 6 x

(29) โˆ’ 2 (30) 24 x^2 y 3

3 x^2 y

x + 2

x y

x โˆ’ 4 y

4 x 4 x^2

12 y^2 2 y^2