Graphing Square Roots - Class Work Graph the following equations by hand. State the domain and range of each using interval notation. 1. y = x + 2 2. f(x) = x 1. y = x +. g(x) = 2 x 1. y = x + 2 + 6. h(x) = 2x 7. y = x + 2 8. y = x 8 1 Alg2 - Radicals ~1~ NJCTL.org
Graphing Square Roots - Homework Graph the following equations by hand. State the domain and range of each using interval notation. 9. y = x + 2 10. f(x) = 1 2 x 11. y = x 12. g(x) = 2 x + 1 1. y = 1 x + 1. h(x) = x + 6 2 2 1. y = 2x + 16. y = x Alg2 - Radicals ~2~ NJCTL.org
Working with Square Roots - Class Work Simplify each square root. 17. 2 18. 6 19. 81 20. 81 21. 21 2 9 22. 16 121 2. 6 1 2. 12 2 100 2. 6 26. 10 81 27. 2 28. 16 29. 0. b 2 1. x 2. y 6. m 18. p 10. 1 x 6 6. c1 6 7. 169 9 d8 8. m 18 9. n2 0. y12 16 Alg2 - Radicals ~~ NJCTL.org
Working with Square Roots - Homework Simplify each square root. 1. 289 2. 00. 6. 61. 10000 6. 2 22 7. 9 196 8. 12 81 00 9. 2 6 6 0. 9 1. 196 2. 7 9. 10 169. a 6. x 8 6. m 10 7. t 12 8. x 9. h2 16 60. x 16 61. 2 81 d12 62. y 22 6. g26 9 6. r8 6 Spiral Review 6. Factor: 66. Multiply: 67. Simplify: 68. Factor: 27m 1 (x 2y)(x 2 2xy + y) 2m n 7 m 7 n 2x2 x + Alg2 - Radicals ~~ NJCTL.org
Irrational Roots - Class Work Put in simplest radical form: 69. 0 70. 8 71. 20 72. 8 7. 2 7 7. 10 00c 7. 12 76. 7 28 77. 6 78. 8 72 79. 12 16 80. 2 18 81. 2a 6 82. 20x y 6 8. 16 16m 8 n 12 8. 2 8r 9 s 2 8. 6 2p 2 q 10 r 86. 100 6g h 1 87. 6x 10 y 6 88. 1 0a 7 y 2 89. 0xy 2 0x 2 y 16 90. a b 96a 9 b 91. 1m 2 n 6 120m n 6 Alg2 - Radicals ~~ NJCTL.org
Irrational Roots - Homework Put in simplest radical form: 92. 96 9. 10 9. 80 9. 2 2 96. 12 00 97. m 2 108m 98. 120 99. 17 100. 7 8 101. 20p 9 102. 8 20x 6 10. 0 27 10. 1n 12 10. 2 0r s 8 106. 8 8p q 10 r 107. 20 16x 20 y 2 108. 7 7a b 1 c 6 109. 10 100g 6 h 10 110. 6j 1 k 111. 12 a b 1 112. p q 80p 1 q 2 11. 9m n 72m 7 n 8 11. x y 1x 10 y 12 Spiral Review 11. Solve: 116. Factor: 117. Simplify: 118. Factor: -(x + 2) (x ) = 0 2x 2-16y 2 ( m n 2 )( m 6 n ) 12p 2 p Alg2 - Radicals ~6~ NJCTL.org
Adding and Subtracting Radicals - Class Work Simplify each expression 119. 1 11 11 120. 10 + 10 121. - 122. 2 6 + 12. 7 + 2 7 12. - 6 + 8 6 12. 1 + 7 1-1 126. - 2-127. 27 + 8 128. 8 2 12 + 2 129. 2 7 20 + 80 10. 2 12-7 27 11. 2 12. x 27x x 12x 1. 8y + y 18y 1. 6m n 2 m mn 2 1. 2 kp + 6p 2 k 16. 2r 8r 12r Alg2 - Radicals ~7~ NJCTL.org
Adding and Subtracting Radicals - Homework Simplify each expression 17. 10 + 8 10 18. 9 7 7 19. + 10. 2 10 9 8 10 11. + 7 + 7 7 12. + 9 + 2 1. 10 8 1. + 20 1. 98-2 2 16. + 8 17. 9 7-2 6 18. 27 + 7 19. p p p 10. x x 6 x 11. 8m 6 n 8 + 2m 6 n 8 12. 2 a 7 + 27a 7 1. 12y y 1. x 6 x + 12x Spiral Review 1. Simplify: 16. Factor: 17. Multiply: 18. Simplify: 12x 2 y 8x 6 y 8 6p + 12q (a + 7)(2a ) (-r s - t 2 )(-r 2 s - t) Alg2 - Radicals ~8~ NJCTL.org
Multiplying Radicals - Class Work Multiply the following. Make sure answers are in simplest radical form. 19. ( 2)(2 ) 160. ( )( 2) 161. ( 2 6)( 12) 162. 8 (x 2 11) 16. ( 1x)( 2 2x) 16. 8 11(2 + ) 16. 6( 6 + 7) 166. 9 10( 6 7) 167. ( + )( 2 ) 168. ( 6 )( 6 6) 169. ( + )( 6) 170. (2 )(1 + 2) 171. (2 + 6) 2 172. (7 10) 2 17. ( )( 2 + ) Multiplying Radicals Homework Multiply the following. Make sure answers are in simplest radical form. 17. ( 6)(7 ) 17. (7y )(2 ) 176. ( )( 12) 177. ( 12) 178. 10x( x) 179. (2 ) 180. ( 2 6) 181. x(2 1x ) 182. ( 2)(2 ) 18. ( + 2 )( 6) 18. (2 2 )(2 6) 18. (1 + 7) 2 186. ( + 2)(1 ) 187. (8 6) 2 188. (1 2 )(1 + 2 ) Spiral Review 189. Factor: 190. Factor: 191. Simplify: 192. Simplify: 9m 2 + 0m + 2 27x y 1 (a b - )(a b - ) 12a b 2ab Alg2 - Radicals ~9~ NJCTL.org
Rationalizing the Denominator - Class Work Simplify: 19. 6 19. 1 19. 2 6 196. 2 197. 7 7 198. 2 199. 1 2 200. 6+ 201. 1 2 1+2 2 202. 2+ 20. 2+2 20. + 6 2+ Alg2 - Radicals ~10~ NJCTL.org
Rationalizing the Denominator - Homework Simplify: 20. 2 206. 6 207. 7 208. 2 209. 7 6 7 210. 2 6 2 1 211. 2 2 6 212. + 21. +2 21. + 6 1 21. 7 10 216. + 2 Spiral Review 217. Simplify: 218. Multiply: 219. Factor: 220. Simplify: a b 6 (2x )(x + 8) x 2 11x ( a b 2 ) Alg2 - Radicals ~11~ NJCTL.org
Cube Roots - Class Work Simplify: 221. 8 222. 6 22. 27x 6 22. 12a b 12 22. 1 x 18 226. c1 d 2 227. 1 228. 216 229. 27x y 7 z 2 20. 2r 6 s 9 t 9 21. mn 2 m 2 n p 6 22. ab 6a b 7 c 1 Cube Roots - Homework Simplify: 2. 12 2. 2. 8x 9 26. 729a 6 b 21 27. 1 p 9 28. j27 k 29. 8 20. 12 21. 2j k m 22. 62x 6 y 7 z 8 2. ab 6a b c 2. 6x 2 z 0x y z Spiral Review 2. Simplify: 26. Multiply: 27. Multiply: 28. Solve: x (x ) (2a b)(a 2 + 2ab + b 2 ) (x 2y)(x + 2y) 2(p ) (p + 1) = 1 Alg2 - Radicals ~12~ NJCTL.org
n th roots - Class Work Simplify: 29. 81 20. 1 21. 62x 16 6 22. 6x 18 2. x 10 y 1 z 20 2. x12 26 2. e29 f 0 6 26. 6m n 17 27. 27x 6 y z 2 28. 8x y z 8 29. x 16x 6 y 1 z 18 7 260. m n 2 p 21 261. (p ) 262. (2x 1) 6 6 26. (r + p) 18 26. 16x 8 y 16 26. 266. 2 x 267. x 2 1 268. 2 m2 2r 2 n 2 6 269. x2 y 270. 2t 271. p t 272. x Alg2 - Radicals ~1~ NJCTL.org
n th roots - Homework Simplify: 27. 16 27. 2 27. 16x 20 6 276. 729x 0 277. x 1 y z 10 278. x16 1296 279. p2 q 8 280. 26a 1 b 2 281. 112x 9 y 10 z 11 282. 7x y z 81x 2 y z 6 28. ab 6 6a 1 b 2 6 28. (m + 2) 28. (2r ) 12 286. (2y 1) 10 7 287. 128n 8 p 1 288. 2y x 2 289. 7 290. m m 2n 291. x 2 292. 2t r 29. 29. 2y x 29. 8x 9 6 r Spiral Review 296. Factor: 297. Multiply: 298. Simplify: 299. Simplify: 1p 2 1 7( 10 2) ( a b 2 ) ( 12m n ) 2 Alg2 - Radicals ~1~ NJCTL.org
Rational Exponents - Class Work Simplify: 00. ( 2) 1 01. () 2 02. (12) 0. (27) 0. ( 1 8 ) 1 0. (16) 7 Write each expression without the radical. 06. 16m 07. 27rs 2 t 08. 81x 9 Write each expression using a single radical. 09. x 2 10. a 1 b 2 c 11. e 1 2f 1 g Simplify. Leave answers with positive exponents. 12. (x 6 ) 1 2 1. (27y 6 ) 1. (2a 1 2 ) 6 2 1. (16b 2 ) 9 16. (c 2 10 ) 17. x x 18. y y 7 19. z1 z 1 2z 2 20. (2m ) 2 Alg2 - Radicals ~1~ NJCTL.org
Rational Exponents Homework Simplify: 21. ( 12) 1 22. () 2 2. (16) 2. ( 27) 1 2. ( 1 2 ) 1 26. () 2 Write each expression without the radical. 27. 81p 28. r s t 7 29. 16x 6 Write each expression using a single radical. 0. x 1 1. a 1 6b 2 c 2. m 1 n 2p Simplify. Leave answers with positive exponents.. (x ) 1 2. (y ) 2. a 1 6. (9b 2 7) 1 7. (c 8) 9 8. x x 1 9. y y 7 0. 1 m6 m 1 1 m 1. (16x 12 ) Spiral Review 2. Simplify:. Multiply:. Simplify:. Factor: a b a 2 b 2 (x + y)(x y) (2a 2 b ) 1 8y Alg2 - Radicals ~16~ NJCTL.org
Solving Radical Equations - Class Work Solve each of the following equations. 6. 2x = 2 7. a + 1 = 8. 2x = 2 9. 10 = 2 2t 0. (2p ) 1 = 2 1. m + 2 = 2m 2. x + 1 6x 9 = 0. (8) 1 2 = (m) 1 2. t + 1 = t 1. 2x + = 2x + 2 Alg2 - Radicals ~17~ NJCTL.org
Solving Radical Equations - Homework Solve each of the following equations. 6. g = 12 7. x 1 = 8. 2m = 9. 12 = 2 6 b 60. (x 2) 1 = 10 61. y + = 2y 6 62. x + 2 8x 7 = 0 6. (6) 1 = (m) 1 6. t + t = 2 6. x + = x + 1 Spiral Review 66. Simplify: 67. Multiply: 68. Multiply: 69. Simplify: a (2x y)(x y) 2( ) ( m 2 n ) b c d + 1 Alg2 - Radicals ~18~ NJCTL.org
Complex Numbers - Class Work Simplify using i. 70. i i i 71. 2i i 6i 8i 72. i i i 7. i i 7i i 7. 2i 2i 2i 7. 6i i i i 76. i 9 77. i 22 78. i 7 79. i 2 80. i 81. i 6 82. 16 2 8. 8 10 8. 8. x 9 1x 7 86. 0p 10p 2 87. 8 88. 6b 89. 8a 2 90. 2x 6 y 7 91. 72m n 92. 8a 2 b 6 9. 2x 8 y 12 Alg2 - Radicals ~19~ NJCTL.org
Complex Numbers - Homework Simplify using i. 9. i i i 9. i 2i 9i i 96. i i 2i 97. i i i i 98. 2i i 7i 99. i i i 7i 00. i 10 01. i 2 02. i 72 0. i 2 0. i 1 0. i 66 06. i 19 07. i 9 08. 9 09. 12 7 10. 81 11. m m 12. 27x 6 12x 2 1. 6 1. 121b 8 1. 18a 6 16. 8x y 6 17. 16r 12 18. 2x 19. 96m 7 n 20. 2a 6 b 1 Spiral Review 21. Multiply: 22. Multiply: 2. Factor: 2. Simplify: (p + q)(9p 2 pq + q 2 ) x y(x y 1) 6x + 27y x y x 2 y 2 Alg2 - Radicals ~20~ NJCTL.org
Adding, Subtracting, and Multiplying Complex Numbers - Class Work Simplify: 2. (6 + i) ( + i) 26. ( + 2i) + ( 2 i) 27. ( i) ( i) 28. ( + i) + ( i) 29. (7 + i) ( 2 2i) 0. ( 2i) ( i) 1. ( 2i) 2. 2i( 6 + i). i( i). 6( + i). (6 + i)( + i) 6. (7 + i)( 2 2i) 7. ( 2 + 9i)(1 i) 8. ( i)( + i) 9. ( 2i)( i) 0. (8 i)(1 i) 1. ( 2i) 2 2. ( 6 + i) 2 Alg2 - Radicals ~21~ NJCTL.org
Adding, Subtracting, and Multiplying Complex Numbers - Homework Simplify:. ( 1 + i) + ( 2 i). (7 2i) ( i). (2 + i) + (8 + 2i) 6. ( + 9i) + ( 9i) 7. (10 7i) ( i) 8. (2 + i) (8 + 2i) 9. ( 2 i) ( + i) 0. (7 + 2i) + ( + 2i) 1. 6( 6i) 2. 2i( i). i( + 2i). i(1 i). (2 + i)(8 + 2i) 6. ( + 9i)( 9i) 7. (10 7i)( i) 8. ( 6 i)(2 7i) 9. (6 i) 2 60. ( 7 + 2i) 2 Spiral Review 61. Multiply: 62. Multiply: 6. Work out: 6. Simplify: (q )(q 2 q 8) -2x 2 (y + z) (x ) x c+1 y d Alg2 - Radicals ~22~ NJCTL.org
Dividing Complex Numbers - Class Work Simplify 6. 2 i 66. i 67. 2 i 68. 2+i i 69. i 70. 1 2i 71. 7 i 72. i 2i 7. 2 1 2i 7. i 1 i 1 +i 7. + i 76. 7 2i 2 9i 77. 2i 1 i 78. 2 i 79. 2 i + i 80. i 2i 81. 2 i + i 82. 10 7 i 8. i + 2i 8. 9 i 2i Alg2 - Radicals ~2~ NJCTL.org
Dividing Complex Numbers - Homework Simplify 8. i 86. 2 i 87. 7i 88. i i 89. i 90. i 91. 7i 92. 6 + i 2i 9. 8 + i 9. 2i i 9. 2 i 2 + i 96. i i 97. 2i 98. + 2i 6 + i 99. 1 i + 2i 00. 1 i 1 i 01. 2i i 02. 2 + i i 0. 1 + i 2 + i 0. 2i 1 + i Spiral Review 0. Factor: 06. Multiply: 07. Multiply: 08. Simplify: 6m 2 19m 7 (xy 1)(xy + 1) (2x y)(x 2 + 2xy + y 2 ) c d a b + 1 Alg2 - Radicals ~2~ NJCTL.org
Radicals Answer Key 1. 2.... 6. Alg2 - Radicals ~2~ NJCTL.org
7. 8. 9. 10. 11. 12. Alg2 - Radicals ~26~ NJCTL.org
1. 1. 1. 16. 17. 18. 8 19. -9 20. Not a real number 21. 1 22. Not a real number 2. 1 2 2. 6 2. -2 26. 90 27. -1 28. 29. Not a real number 0. b 12 1. x 2 2. y. m 9. p Alg2 - Radicals ~27~ NJCTL.org
. 12 x 6. c7 6 7. 1 8. d 7 m 9 9. n12 2 0. y6 1. 17 2. -20. 6. 7. -100 6. 1 7. 1 2 8. 27 9. 2 0. 1 1. -2 2. -9. -10. a. x 6. m 6 7. t 6 8. x 2 9. h 60. 2 x 8 61. d 6 62. 9 y 11 6. g1 6. r 6 6. (m 1)(9m 2 + m + 1) 66. x 8x 2 y + xy + xy 2 2y 2 67. n2 m 68. (x + )(2x ) 69. 2 70. 12 71. 8 72. 2 2 7. 10 7. 100c 2 7. Not a real number 76. 1 7 77. 1 7 78. 8 2 79. 8 80. 6 2 81. 6 a 6 82. 8x 2 y x 8. 6m n 6 8. 96r s r 8. 2 pq r 2 2 86. 100g h 7 6g 87. 0 x y 88. 1a y 0a 89. 80x 1 y 10 10 90. 12a 7 b 2 6ab 91. 0m n 9 92. 6 9. 1 6 9. 16 9. 6 96. 120 97. 2m m 98. 10 0 99. 21 100. 1 21 101. 2p p 102. 16 x 10. 120 10. n 6 1 10. 2rs 0 106. 16p 2 q r 2 2r 107. 80x 10 y 108. a 2 b 7 c ab Alg2 - Radicals ~28~ NJCTL.org
109. 100 g h 110. 0j 1 k 2 jk 111. 12ab 7 ab 112. p 9 q 17 pq 11. m 7 n 7 2m 11. 8x x y 10 11. x = 8 116. (x y)(x + y) 117. 20m 9 n 118. p(p 1) 119. 1 11 120. 10 121. 2 122. 2 6 + 12. 7 12. 6 12. 1 + 7 1 126. 2 2 127. 8 128. 2 2 129. 10. 17 11. 17 6 12. 10x 1. 22y 2 2y 1. m n m 1. p 2 k 16. r 2 2r 6r 2 r 17. 11 10 18. 6 7 19. 10. 12 6 10 11. 2 + 7 7 12. 1 1. 2 1. 6 1. 2 16. 9 17. 7 18. 8 19. 2p p 10. 10x 2 x 11. 22 m n 2 12. 1a 6 a 1. 10y y 8y y 1. 8 x y 1. x 8 16. (p + q)(16p 2 20pq + 2p 2 ) 17. 6a 2 a 18. 20r t s 9 19. 8 6 160. 12 10 161. 8 2 162. 2x 2 16. 10 x 26 16. 16 11 + 2 16. 0 + 20 7 166. 1 2 + 70 167. 18 + 7 168. 2 0 0 6 + 6 0 169. 1 + 1 12 6 12 0 170. 2 + 2 2 6 171. 1 + 20 6 172. 299 70 10 17. 2 6 + 9 17. 21 2 17. 2y 176. -90 177. 7 178. 2 x 2 179. 12 2 1 180. 6 6 2 181. 10 x x + 1x 182. 10 2 6 + 10 18. 12 + 6 6 6 2 18. 8 0 + 2 2 18. 8 + 2 7 Alg2 - Radicals ~29~ NJCTL.org
186. + 2 6 187. 70 16 6 188. -11 189. (m + ) 2 190. (xy 1)(9x 2 y 2 + xy + 1) 191. 12a7 b 7 192. -a 2 19. 6 2 19. 19. 6 196. 6 197. 7 198. 10 2 199. 2 + 200. + 6 1 + 2 201. 7 202. 8 2 1 20. 6 2 + 20. 6 2 6 + + 0 20. 10 206. 2 207. 7 12 208. 10 2 209. 21 6 210. 2 211. 1 7 2 1 6 2 212. 1 21. + 21. 1 6 21. 28+ 10 9 0 216. 10+ 6 2 217. 2a b 218. 6x 2 + x 2 219. (x 1)(x + ) 220. 6b6 a 9 221. -2 222. 22. -x 2 22. ab 22. 1 x 6 226. c d 8 227. 1 228. -6 229. xy 2 xyz 2 20. 2r 2 s t 21. 1mn p 2 6m 2 n 22. 12a 2 b c a 2 bc 2 2. -8 2. 7 2. -2x 26. 9a 2 b 7 27. 1 p j 9 28. k 11 29. 2 20. - 21. 2jk jm 22. x 2 y 2 z 2 yz 2 2. 6a 2 b 2 c 7ac 2 2. 12x yz yz 2 2. 9 26. 8a b 27. 16x 2 62y 2 28. p = -28 29. Not a real number 20. -1 21. x 22. 2 x 2. x 2 y z 2. x Alg2 - Radicals ~0~ NJCTL.org
2. e e f 6 26. 2n 2 6 m n 27. x 27x 2 y z 2 28. 2 x yz 2 y 29. 8x 2 y z x 2 yz 2 260. n p 7 m n 261. p 262. (2x 1) 2 26. (r + p) 26. 2x 2 y 26. 16 2 266. x 2 267. 2r 268. 2 m2 n 6 n 269. x2 y y 270. 2 2t2 271. 27p 272. 2x 2x 27. Not a real number 27. -2 27. 2 x 276. x 277. x yz 2 278. x 6 279. p p q 7 280. 2ab 8 a 7 b 281. 2x 2 y 2 z 2 7xy 2 z 282. 6x y z 6 x 2 z 2 28. 6a b 8 6 a b 2 28. Cannot be simplified 28. (2r ) 286. (2y 1) 2 287. 2np 2 7 n 288. x2 y x 289. m2 m 7 290. 6mn6 2n 291. 6x x 292. 20r t 29. r 16y 2y 29. 2x 2 29. 6 2r r 296. (12p 1)(12p + 1) 297. 70 2 7 298. -27a 9 b -6 n 2 299. 1m 2 00. -2 01. 2 02. 1 62 1 0. 81 0. -2 0. 128 06. m 1 2 07. r 1 s 2 t 08. x 9 09. x 2 10. ab 2 c 12 11. e 6 f g 9 12. x 1. 2y 1. 162a1 2 a 2 1. b 2 12 16. 1 c 17. x 1 18. y 7 19. z 1 12 z 20. 12m 6 Alg2 - Radicals ~1~ NJCTL.org
21. - 22. 8 1 2. 2 2. - 2. -2 26. 1 8 27. 9p 2 28. r st 7 29. 2x 2 0. x 6 1. ab c 6 20 2. m n 0 p 1. x 2. y 2 2. a a 6. 2187 b 7. c 6 c 8. x 9. y 7 0. m 7 12 1. m 1 8x 9 2. b a. 9x 2 y 2. 16a8 b 16. (1 2y)(1 + 2y + y 2 ) 6. x = 2 7. a = 26 8. x = 8 9. t = -11 0. p = 2 1. m = 2 2. x =. m = 2. No solution. x = 0 6. g = 8 7. x = 6 8. m = 81 2 9. b = 1 2 60. x = 6 61. No real solution 62. x = 6. m = 2 6. t = 6. x = 1 a(d + 1) 66. bc 67. 8x 2 10xy + y 2 68. 10 6 69. 81 m 8 n 12 70. -60i 71. 8 72. -1i 7. 21 7. 8i 7. 76. i 77. 1 78. i 79. i 80. i 81. -1 82. -20 8. 8. i 8. 2x 8 1 86. 10 p 87. i 88. 6ib 2 89. 2ai 2 90. x y i 2y 91. 6m 2 ni 2n 92. a b i 9. x y 6 i 9. 9i Alg2 - Radicals ~2~ NJCTL.org
9. -72 96. -6i 97. 20 98. -70i 99. 10 00. -1 01. i 02. 1 0. 1 0. i 0. -1 06. i 07. i 08. -12 09. 6 1 10. 9i 11. m 12. 1x 1 1. 8i 1. 11b i 1. a i 2 16. x 2 y i x 17. r 6 i 18. 2xi x 19. m ni 6mn 20. a b 7 i 2 21. 27p + q 22. 12x 7 y 2 - x y 2. (x + y)(16x 2 12xy + 9y 2 ) 2. y x 2. 2 + 2i 26. - + i 27. -2 28. 8 + 2i 29. 9 + 6i 0. -6 i 1. 20 10i 2. -2 12i. - 12i. 2 18i. 9 + 8i 6. -6 22i 7. 7 + 11i 8. 10 9. -11 i 0. 11i 1. 12 16i 2. 12i. -. 10 + i. 10 + i 6. 0 7. i 8. -6 + i 9. 1 2i 0. 10 + i 1. -0 + 6i 2. 6 + 8i. 8 + 12i. -1 i. 10 + 28i 6. 6 72i 7. 29 6i 8. -19 + 2i 9. 27 6i 60. 28i 61. q 1q 2 2q + 2 62. -6x 2 y 2x 2 z 6. x 9x 2 + 27x 27 xd 6. y(c + 1) 6. -2i 66. i 67. 2i 68. 1 2i 69. i 70. i 2 71. 7i 72. 2 + 2i 7. 2 + i Alg2 - Radicals ~~ NJCTL.org
7. 9 + i 10 7. 9 + 19i 26 2 + 9i 76. 8 77. -1 + i 78. 79. 80. 81. 6 i 1 i 2 1 + i 1 7 i 10 1 + 8i 82. 1 8. 9 19i 1 8. + i 29 8. i 86. 2i 87. i 7 88. -1 i 89. -i 90. i 91. i 7 92. 2 i 9. 12 i 2 + 8i 9. 17 9. 1 8i 1 96. 2+11i 97. 98. 99. 00. 2 2 + 10i 29 + 7i 1 1 17i 29 21 + i 26 1 + i 01. 02. 1 + 2i 0. 2 + 9i 0. 1 17i 10 0. (m + 1)(2m 7) 06. 9x 2 y 2 1 07. 8x y 08. c(b+1) ad Alg2 - Radicals ~~ NJCTL.org