Week 8 Assignment

# Week 8 Assignment - Week 8 Assignment Section 5.4 2 86 48...

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Week 8 Assignment Section 5.4 2. √8√6 √48 √16√3 √4√3 7. (-3√3)(-4√8) 12√24 12√4√6 12(2)√6 24√6 11. (2 3 √4)(6 3 √2) 12 3 √8 12(2) 24 15. √2(√3 + √5) √6 + √10 17. 3√5(2√2 - √7) 6√10 - 3√35 21. -4√5(2√5 + 4√12) -8√25 - 16√60 -8(5) - 16√4√15 -8(5) - 16(2)√15 -40 - 32√15 23. 3√x(5√2 + √y) 15√2x + 3 √xy 25. √xy(5√xy - 6√x) 5√x 2 y 2 - 6√x 2 y

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31. (√3 + 4)(√3 - 7) √9 - 7√3 + 4√3 - 28 3 - 3√3 - 28 -25 - 3√3 35. (3√5 - 2√3)(2√7 + √2) FOIL 6√35 + 3√10 - 4√21 - 2√6 38. (5√2 - 4√6)(2√8 + √6) 10√16 + 5√12 - 8√48 - 4√36 (8√3√2√2 was reduced from 8√6√8) 10√4√4 + 5√2√3 - 8√3√2√2 - 4√6√6 (5√2√3 was reduced from 5√4√3) 10(4) + √10√3 - 32√3 - 4(6) 40 + (-24) + 10√3 - 32√3 10√3 - 32√3 = (10-32)√3 40 - 24 = 16 10 - 32 = -22 16 - 22√3 41. (3√2 - 5√3)(6√2 - 7√3) 18√4 - 21√6 - 30√6 + 35√9 18√2√2 - 21√6 - 30√6 + 35√3√3 18(2) - 21√6 - 30√6 + 35(3) 36 - 51√6 + 105 141 - 51√6 43. (√6 + 4)(√6 - 4) √36 - 4√6 + 4√6 - 16 √6 - 16 -10 47. (√2x + √3y)(√2x - √3y) 4x 2 + √6xy + √6xy - √9y 2 2x - 3y 49. 2 3 √3(5√4 + 3 √6) 10 3 √12 + 2 3 √18
51. 3 3 √4(2 3 √2 - 6 3 √4) 6 3 √8 - 18 3 √16 6(2) - 18 3 √16 12 - 18(2) 3 √2 12 - 36 3 √2 53. 2 √7 + 1 2 * (√7 - 1) (√7 + 1) (√7 - 1) 2(√7 - 1) = 2(√7 - 1) √49 - 1 7 - 1 2(√7 - 1) = √7 - 1 6 3 59. √2 = √2 * (√10 + √3) = √10 - √3 (√10 - √3) (√10 + √3) √3(2√5 - 4) = 2√15 - 4√3 = √100 - √9 10 - 3 √4√5 + √6 = 2√5 + √6 7 7 65. √6 = 3√2 + 2√3 √6 * (3√2 - 2√3) = (3√2 + 2√3) (3√2 - 2√3) √6(3√2 - 2√3) = 3√12 - 2√18 = 9√4 - 4√9 9(2) - 4(3) 3√4√3 - 2√9√2 = 6√3 - 6√2 = 18 - 12 6 6(√3 - √2) = √3 - √2 6

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67. 2 = √x + 4 2 * (√x - 4) = √x + 4 (√x - 4) 2(√x - 4) = 2√x - 8 = √x 2 - 25 x - 25 x + 5√x x - 25 69. √2 = √x * (√x + 5) = √x + 5 (√x - 5) (√x + 5) √x(√x + 5) = √x 2 + 5√x = √x 2 - 25 x - 25 x + 5√x x - 25 73. √x = √x + 2√y √x * (√x - 2√y) = (√x + 2√y) (√x - 2√y) √x 2 - 2√xy = x - 2√xy √x 2 - 4√y 2 3 x - 4y Section 5.5 1. √5x = 10 (√5x) 2 = 10 2 5x = 100 x = 20 √5(20) = 10 √100 = 10 10 = 10 20
5. 2√n = 5 √n = 5 2 (√n) 2 = (5 ) 2 2 n = 25

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