Graphing quare Roots - lass Work Graph the following equations by hand. tate the domain and range of each using interval notation. 1. y = x + 2 2. f x = x 1. y = x + 4. g x = 2 x 1 5. y = x + 2 + 4 6. h x = 2x 4 7. y = x + 2 8. y = 4x 8 1 Alg2 - Radicals ~1~ NJTL.org
Graphing quare Roots - Homework Graph the following equations by hand. tate the domain and range of each using interval notation. 9. y = x + 2 10. f x = / 0 x 11. y = x 4 12. g x = 2 x + 1 1. y = / 0 x + 14. h x = x + 6 2 15. y = 4 2x + 16. y = x 4 Alg2 - Radicals ~2~ NJTL.org
Working with quare Roots - lass Work implify each square root. 17. 25 18. 64 19. 81 20. 81 21. 21 0 45 22. 6/7 /0/ 2. 87 /44 24. 12 0 /99 25. 4 64 26. 10 81 27. 25 28. 16 29. 4 4 0. b 04 1. x 4 2. y 7. m /= 4. p /9 5. /44 6. A B? @ 87 7. /75 8. 45 9. G H D E F BE 4 40. I BH /7 Alg2 - Radicals ~~ NJTL.org
Working with quare Roots - Homework implify each square root. 41. 289 42. 400 4. 6 44. 61 45. 10000 46. 0 00 47. 45 /57 48. 12 =/ 499 49. 2 87 74 50. 5 9 51. 196 52. 7 49 5. 10 169 54. a 7 55. x = 56. m /9 57. t /0 58. x 4 59. P H /7 60. 4? B@ 61. 0 62. =/ 6. Q H@ D BH I HH 5 64. R E 87 piral Review 65. Factor: 66. Multiply: 67. implify: 68. Factor: 27m 1 (x 2y)(x 2 2xy + y) 0F G T F T G U 2x2 x + 5 Alg2 - Radicals ~4~ NJTL.org
Irrational Roots - lass Work Put in simplest radical form: 69. 50 70. 48 71. 4 20 72. 8 7. 2 75 74. 10 00c 4 75. 125 76. 7 28 77. 5 6 78. 8 72 79. 12 16 80. 2 18 81. 24a 7 82. 4 20x y 7 8. 16 16m = n /0 84. 24 48r 5 s 0 85. 6 2p 0 q /9 r 4 86. 100 6g 8 h /4 87. 5 64x /9 y 7 88. 1 0a \ y 0 89. 40xy 0 40x 04 y /7 90. a 8 b 96a 5 b 8 91. 15m 0 n 7 120m 4 n 7 Alg2 - Radicals ~5~ NJTL.org
Irrational Roots - Homework Put in simplest radical form: 92. 96 9. 150 94. 4 80 95. 2 24 96. 12 500 97. 4m 0 108m 8 98. 5 120 99. 147 100. 7 84 101. 4 20p 5 102. 8 20x 7 10. 40 27 104. 14n /0 105. 2 0r 8 s = 106. 8 8p 4 q /9 r 107. 20 16x 09 y 0 108. 7 75a b / c 7 109. 10 100g 6 h 10 110. 5 6j 15 k 5 111. 12 a 8 b / 112. p 8 q 80p /8 q 0 11. 9m 4 n 8 72m \ n = 114. 4x 5 y 4 144x 10 y 12 piral Review 115. olve: 116. Factor: 117. implify: 118. Factor: -(4x + 2) 4(x ) = 0 25x 2-16y 2 5m 8 n 60 4m 7 n 12p 2 p Alg2 - Radicals ~6~ NJTL.org
Adding and ubtracting Radicals - lass Work implify each expression 119. 15 11 11 120. 10 + 4 10 121. 5-5 122. 2 6 + 12. 7 + 2 7 124. - 6 + 8 6 125. 5 1 + 7 1-4 1 126. 5-2 - 127. 27 + 48 128. 4 8 2 12 + 4 2 129. 2 45 7 20 + 80 10. 2 12-7 27 11. 4 24 54 12. 4x 27x 4 x 12x 4 1. 5 8y + 4y 18y 8 14. 6m 8 n 0 m mn 0 15. 2 kp 4 + 6p 0 k 16. 2r 4 8r 12r Alg2 - Radicals ~7~ NJTL.org
Adding and ubtracting Radicals - Homework implify each expression 17. 10 + 8 10 18. 9 7 7 19. + 4 140. 2 10 4 9 8 10 141. 5 4 + 7 4 + 7 7 142. + 9 + 2 14. 10 5 8 5 144. 4 5 + 20 145. 98-2 2 146. 5 + 48 147. 9 7-2 6 148. 27 + 75 149. p 8 p p 150. 4x x 8 6 x 151. 5 8m 7 n = + 2m 7 n = 152. 2 a \ + 4 27a \ 15. 5 12y 8 4 4y 8 154. 4 x 6 x + 5 12x piral Review 155. implify: 156. Factor: 157. Multiply: 158. implify: /0_`Ha` 4=_ @ a`e 64p + 125q (a + 7)(2a 5) (-4r s -5 t 2 )(-5r 2 s -4 t) Alg2 - Radicals ~8~ NJTL.org
Multiplying Radicals - lass Work Multiply the following. Make sure answers are in simplest radical form. 159. (4 2)(2 ) 160. ( 5)(4 2) 161. ( 2 6)(4 12) 162. 8 (x 0 11) 16. (5 1x)( 2 2x) 164. 8 11(2 + ) 165. 5 6( 6 + 4 7) 166. 9 10( 5 6 7) 167. 4 + 5 2 168. 5 6 5 5 6 6 169. + 5 5 4 6 170. 2 1 + 2 171. 2 + 5 6 0 172. 7 5 10 0 17. 4 2 + Multiplying Radicals Homework Multiply the following. Make sure answers are in simplest radical form. 174. ( 6)(7 ) 175. (7y )(2 ) 176. ( )(5 12) 177. 5( 125) 178. 5 10x( 5x) 179. (2 5 4 ) 180. 4 ( 2 6) 181. 5x(2 15x ) 182. 5 2 2 5 18. 4 + 2 6 184. 2 5 2 2 4 6 185. 1 + 7 0 186. + 2 1 187. 8 6 0 188. 1 2 1 + 2 piral Review 189. Factor: 190. Factor: 191. implify: 192. implify: 9m 2 + 0m + 25 27x y 1 (a b -4 )(4a 4 b - ) /0d e 60de Alg2 - Radicals ~9~ NJTL.org
Rationalizing the Denominator - lass Work implify: 8 19. 7 194. / 195. 8 0 7 196. 8 0 8 197. \ 8 \ 198. 8 0 199. / 06 8 200. 7f 201. /6 0 /f0 0 202. 0f 8 46 20. 4 8 0f0 204. 8f 7 0f Alg2 - Radicals ~10~ NJTL.org
Rationalizing the Denominator - Homework implify: 0 205. 206. 7 8 207. \ 4 8 208. 0 209. \ 8 7 \ 210. 60 7 0 / 211. 068 0 7 212. 4f 8 21. 86 8 8f0 8 214. 4f 7 /6 215. 4 \6 /9 216. 6 8 f 0 piral Review 217. implify: 218. Multiply: 219. Factor: 220. implify: g h @ (2x 4)(x + 8) x 2 11x 4 4a 68 b 0 8 Alg2 - Radicals ~11~ NJTL.org
ube Roots - lass Work implify: 221. 8 222. 64 22. 27x 7 224. 125a 8 b /0 225. /? BE 226. A BU D H 227. 1 228. 216 229. 27x 4 y \ z 0 20. 2r 7 s 5 t 5 21. 5mn 0 54m 0 n 4 p 7 22. ab 64a b \ c /4 ube Roots - Homework implify: 2. 512 24. 4 25. 8x 5 26. 729a 7 b 0/ 27. / k l 28. m HT n 29. 8 240. 125 241. 24j 4 k 8 m 242. 625x 7 y \ z = 24. ab 56a 4 b 8 c 244. 6x 0 z 4 40x 8 y 4 z piral Review 245. implify: 246. Multiply: 247. Multiply: 248. olve: x 8 x 68 (2a b)(4a 2 + 2ab + b 2 ) (4x 25y)(4x + 25y) 2(p 5) (p + 1) = 15 Alg2 - Radicals ~12~ NJTL.org
n th roots - lass Work implify: 249. 81 U 250. 1 251. 625x /7 @ 252. 64x /= U 25. x /9 y / z 09 254.? BH 07 255. U u Hl v w @ 256. 64m n /\ 257. 27x 7 y 8 z 0 258. 48x 4 y z = 259. 4x 16x 7 y /8 z /= T 260. m 4 n 80 p 0/ U 261. p 262. 2x 1 7 @ 26. r + p /= 264. 16x = y /7 265. 8 U 266. 0 6? 267.? H / 268. 0 U FH 0R H U G H 269. @? H I 270. 0x 271. x k 8 272. U 8 4? Alg2 - Radicals ~1~ NJTL.org
n th roots - Homework implify: 27. 16 U 274. 2 275. 16x 09 @ 276. 729x 89 U 277. x / y z /9 278.? B@ /057 279. U k H y U E 280. 256a / b 0 281. 112x 5 y /9 z // 282. 7x 8 y 4 z 81x 0 y 4 z 7 28. ab 8 @ 64a / b 80 @ 284. m + 2 8 285. 2r 5 /0 U 286. 2y 1 /9 T 287. 128n = p /4 288. 0I 8? H 289. 4 U 290. F T F 0G 291. 4 8? H 292. 0x R 29. 68 U 294. 0I? 295. =? 5 @ 8R piral Review 296. Factor: 297. Multiply: 298. implify: 299. implify: 144p 2 1 7 10 2 a 8 b 60 8 /0F 60 G Alg2 - Radicals ~14~ NJTL.org
Rational Exponents - lass Work implify: 00. 2 B U 01. 4 U H 02. 125 6 0. 27 6 04. 6 B 05. 16 T Write each expression without the radical. 06. 16m 07. 27rs 0 t 4 08. 81x 5 Write each expression using a single radical. 09. x H 10. a B b H c 11. e B Hf B g implify. Leave answers with positive exponents. 12. 4x 7 B H 1. 27y @ U U 14. 25a 6B H @ H 16b`H 15. 6 l 16. c 2 5 /9 17.?? 18. I I T 19. z1 4 z 1 2z 2 20. 25m 4 H Alg2 - Radicals ~15~ NJTL.org
Rational Exponents Homework implify: 21. 125 B 22. 4 H 2. 16 6U 24. 27 B 25. / 80 6 B U 26. 4 6 H Write each expression without the radical. 27. 81p 28. r 4 s 8 t \ 29. 16x 7 Write each expression using a single radical. 0. x B 1. a B @ b H c 2. m B U n U Hp implify. Leave answers with positive exponents.. x 4 B H 4. y U U H 5. 4a 6B 6. 9b 6H T B 7. c 6 E l 8.??B 9. I I T 40. B F@ B B FF 41. 16x /0 6 piral Review 42. implify: 4. Multiply: 44. implify: 45. Factor: g h g H h H (x + 4y)(x 4y) 2a 0 b 64 4 1 8y Alg2 - Radicals ~16~ NJTL.org
olving Radical Equations - lass Work olve each of the following equations. 46. 2x = 24 47. a + 1 = 48. 2x = 2 49. 10 = 2 2t 50. 2p 4 B = 2 51. m + 2 = 2m 52. 4x + 1 6x 9 = 0 5. 8 B H = 4m B H 54. t + 1 = t 1 55. 2x + 4 = 2x + 2 Alg2 - Radicals ~17~ NJTL.org
olving Radical Equations - Homework olve each of the following equations. 56. g = 12 57. x 1 = 4 58. 2m = 59. 12 = 2 6 4b 60. 4 5x 2 B = 10 61. 4y + 5 = 2y 6 62. 5x + 2 8x 7 = 0 6. 6 B = m B 64. t + 4 t = 2 65. x + = x + 1 piral Review 66. implify: 67. Multiply: 68. Multiply: 69. implify: g (2x y)(4x y) 2 5 m 60 n 68 4 h ~ B Alg2 - Radicals ~18~ NJTL.org
omplex Numbers - lass Work implify using i. 70. i 4i 5i 71. 2i 4i 6i 8i 72. i 5i i 7. i i 7i i 74. 2i 2i 2i 75. 6i i i i 76. i 5 77. i 00 78. i \8 79. i 0 80. i 88 81. i 47 82. 16 25 8. 8 10 84. 45 85. 4x 5 14x \ 86. 0p 4 10p 0 87. 48 88. 6b 4 89. 8a 0 90. 2x 7 y \ 91. 72m 4 n 8 92. 48a 0 b 7 9. 25x = y /0 Alg2 - Radicals ~19~ NJTL.org
omplex Numbers - Homework implify using i. 94. i i i 95. 4i 2i 9i i 96. i i 2i 97. i 4i i 5i 98. 2i 5i 7i 99. i i 5i 7i 400. i /9 401. i 08 402. i \0 40. i 40 404. i / 405. i 77 406. i /5 407. i 58 408. 9 4 409. 12 75 410. 81 411. 4m 4m 412. 27x 7 125x 0 41. 64 414. 121b = 415. 18a 7 416. 48x y 7 417. 16r /0 418. 24x 8 419. 96m \ n 8 420. 2a 7 b /4 piral Review 421. Multiply: 422. Multiply: 42. Factor: 424. implify: (p + q)(9p 2 pq + q 2 ) 4x y(x 4 y 1) 64x + 27y ƒ ƒ H H Alg2 - Radicals ~20~ NJTL.org
Adding, ubtracting, and Multiplying omplex Numbers - lass Work implify: 425. 6 + 5i 4 + i 426. + 2i + 2 i 427. i 5 i 428. + 5i + 5 i 429. 7 + 4i 2 2i 40. 2i i 41. 5 4 2i 42. 2i 6 + i 4. 4i i 44. 6 4 + i 45. 6 + 5i 4 + i 46. 7 + 4i 2 2i 47. 2 + 9i 1 i 48. i + i 49. 2i i 440. 8 i 1 i 441. 4 2i 0 442. ( 6 + i) 0 Alg2 - Radicals ~21~ NJTL.org
Adding, ubtracting, and Multiplying omplex Numbers - Homework implify: 44. 1 + i + 2 i 444. 7 2i 5i 445. 2 + i + 8 + 2i 446. 4 + 9i + 4 9i 447. 10 7i 5 i 448. 2 + i 8 + 2i 449. 2 i + i 450. 7 + 2i + + 2i 451. 6 5 6i 452. 2i 4 i 45. 4i + 2i 454. i 1 i 455. 2 + i 8 + 2i 456. 4 + 9i 4 9i 457. 10 7i 5 i 458. 6 i 2 7i 459. 6 i 0 460. ( 7 + 2i) 0 piral Review 461. Multiply: 462. Multiply: 46. Work out: 464. implify: (4q )(q 2 q 8) -2x 2 (y + z) (x ) ƒ ~ B Alg2 - Radicals ~22~ NJTL.org
Dividing omplex Numbers - lass Work implify 465. 0 466. 8 4 467. 0 8 468. 0f 469. 4 470. / 0 471. \ 472. 6468 0 47. 0 /60 474. 8 /68 / f4 475. f 476. \60 065 477. 0 / 6 478. 68 0 6 479. 0 6 8 f 480. 4 6 8 6 0 481. 60 6 8 f 482. /9 \ 6 4 48. 6 8 8 f 0 484. 5 6 8 6 0 Alg2 - Radicals ~2~ NJTL.org
Dividing omplex Numbers - Homework implify 485. 8 486. 0 487. 64 \ 488. 46 489. 8 490. 4 491. \ 492. 7 f 0 49. = 8 f 494. 0 4 6 495. 0 6 0 f 8 496. 6 4 6 8 497. 6 0 498. 68 f 0 7 f 8 499. / 6 8 f 0 500. / 6 4 / 6 501. 0 8 6 502. 0 f 4 6 8 50. 6/ f 4 0 f 504. 6 0 / f 8 piral Review 505. Factor: 506. Multiply: 507. Multiply: 508. implify: 6m 2 19m 7 (xy 1)(xy + 1) (2x y)(4x 2 + 2xy + y 2 ) ~ g h B Alg2 - Radicals ~24~ NJTL.org
Radicals Answer Key 1. 2.. 4. 5. 6. Alg2 - Radicals ~25~ NJTL.org
7. 8. 9. 10. 11. 12. Alg2 - Radicals ~26~ NJTL.org
1. 14. 15. 16. 17. 5 18. 8 19. - 9 20. Not a real number 21. 15 22. Not a real number 2. / 0 24. 6 25. - 2 26. 90 27. - 15 28. 4 29. Not a real number 0. b 12 1. x 2 2. y 8. m 5 4. p Alg2 - Radicals ~27~ NJTL.org
5. /0? 6. AT 7 7. /8 8. D \ F l 9. GBH 0 40. I@ 4 41. 17 42. - 20 4. 6 44. 57 45. - 100 46. / 8 47. / 0 48. 0\ 49. 2 50. 15 51. - 42 52. - 49 5. - 10 54. a 8 55. x 4 56. m 7 57. t 7 58. x 0 59. P 4 60. 0? E 61. D @ 62. 5 I BB 6. QB 8 64. R 7 65. (m 1)(9m 2 + m + 1) 66. x 8x 2 y + xy + 4xy 2 2y 2 67. GH F 68. (x + )(2x 5) 69. 5 2 70. 12 71. 8 5 72. 2 2 7. 10 74. 100c 0 75. Not a real number 76. 14 7 77. 15 7 78. 48 2 79. 48 80. 6 2 81. 6 a 8 6 82. 8x 0 y 8 5x 8. 64m 4 n 7 84. 96r 4 s r 85. 24 pq r 0 2 86. 100g h \ 6g 87. 40 x y 8 88. 1a 8 y 0a 89. 80x /8 y /9 10 90. 12a \ b 0 6ab 91. 0m 4 n 5 92. 4 6 9. 15 6 94. 16 5 95. 4 6 96. 120 5 97. 24m 8 m 98. 10 0 99. 21 100. 14 21 101. 2p 4 5p 102. 16 x 8 5 10. 120 104. n 7 14 105. 2rs 4 0 106. 16p 0 q r 0 2r 107. 80x /9 y 108. 5a 0 b \ c 8 ab Alg2 - Radicals ~28~ NJTL.org
109. 100 g 8 h 110. 0j /4 k 0 jk 111. 12ab \ ab 112. 4p 5 q /\ 5pq 11. 54m \ n \ 2m 114. 48x x y /9 115. x = 8 = 116. 5x 4y 5x + 4y 117. 20m 9 n 118. p(4p 1) 119. 14 11 120. 5 10 121. 2 5 122. 2 6 + 12. 5 7 124. 5 6 125. 1 + 7 1 126. 2 2 127. 8 128. 24 2 4 129. 4 5 10. 17 11. 17 6 12. 10x 8 1. 22y 0 2y 14. 5m n m 15. 4p 0 k 16. 5r 0 2r 6r 0 r 17. 11 10 18. 6 7 19. 5 140. 12 6 10 141. 24 + 7 7 142. 14 14. 2 5 144. 6 5 145. 5 2 146. 9 147. 7 148. 8 149. 2p p 150. 10x 0 x 151. 22 m 8 n 4 2 152. 14a 7 a 15. 10y y 8y y 154. 8 x I 155. 4? E 156. (4p + 5q)(16p 2 20pq + 25p 2 ) 157. 6a 2 a 5 158. 09RU x l 159. 8 6 160. 12 10 161. 48 2 162. 24x 0 16. 10 x 26 164. 16 11 + 24 165. 0 + 20 7 166. 15 2 + 54 70 167. 18 + 7 168. 25 0 5 0 6 + 6 0 169. 15 + 15 5 12 6 12 0 170. 2 + 2 2 6 171. 154 + 20 6 172. 299 70 10 17. 4 2 6 + 4 9 174. 21 2 175. 42y 176. - 90 177. 75 178. 25 x 2 179. 12 2 15 180. 4 6 6 2 181. 10 x x + 15x 182. 10 5 5 2 6 + 10 18. 12 + 6 4 6 6 2 184. 4 5 4 8 0 + 24 2 185. 8 + 2 7 Alg2 - Radicals ~29~ NJTL.org
186. + 2 6 187. 70 16 6 188. - 11 189. (m + 5) 2 190. (xy 1)(9x 2 y 2 + xy + 1) 191. /0dT e T 192. - 5a 2 19. 194. 7 0 7 195. 4 196. 6 197. 8 \ 198. 8 /9 0 199. 2 + 200. 6 f 7 8/ 201. 6 f 8 0 \ 202. 8 4 2 5 15 20. 6 2 + 4 5 204. 6 2 6 + 5 + 0 /9 205. 206. 2 207. \ 8 /0 208. /9 0 0/ 209. 7 210. 2 211. / \ 8 0 /4 212. 4 76 8 0 /8 21. 5 + 214. 1 7 5 89 4 4 215. 216. 217. 0d e 0=f 4 /9 85 6 86 /9f 7 08 218. 6x 2 + 4x 2 219. (x 1)(x + 4) 220. 74e@ d l 221. - 2 222. 4 22. - x 2 224. 5ab 4 225. /? @ 226. AU D E 227. 1 228. - 6 229. xy 0 xyz 0 20. 2r 0 s 8 t 8 4 21. 15mn 8 p 0 6m 0 n 22. 12a 0 b 8 c 4 a 0 bc 0 2. - 8 24. 7 25. - 2x 26. 9a 2 b 7 27. / k m l 28. n BB 29. 2 240. - 5 241. 2jk jm 242. 5x 0 y 0 z 0 5yz 0 24. 6a 0 b 0 c 7ac 0 244. 12x 8 yz 5yz 0 245. 9 246. 8a b 247. 16x 2 625y 2 248. p = - 28 249. Not a real number 250. - 1 251. 5x 4 252. 2 x 8 25. x 0 y 8 z 4 254.? 4 Alg2 - Radicals ~0~ NJTL.org
255. uu U u v @ 256. 2n 0 @ m n 257. x 27x 0 y 8 z 0 258. 2 x yz 0 y 259. 8x 0 y 8 z 4 x 0 yz 0 260. n 4 p 8 T m 4 n 4 261. p 262. (2x 1) 2 26. (r + p) 264. 2x 2 y 4 265. 8 U /7 0 266. x 0 267. 2r 268. 0 U FH G 269. G @? H I U I 270. 0 0xH 0\k 271. 8 U 04? 272. 0? 27. Not a real number 274. - 2 275. 2 x 276. x 5 277. x yz 2 278.? 7 U 279. k k y T 280. 2ab 8 E a \ b 281. 2x 0 y 0 z 0 7xy 0 z 8 282. 6x 8 y z 7 x 0 z 0 28. 6a 8 b = @ a 8 b 0 284. annot be simplified 285. (2r 5) 4 286. (2y 1) 2 287. 2np 0 T n 288. 4? H I 8? 289. U FH 290. 291. 292. 29. F T 74FG @ 0G 87? 8? 09R x R U 68 /7I 0I 294. 0? 0 295. 8 @ 048RU R 296. (12p 1)(12p + 1) 297. 70 2 7 298. - 27a 9 b - 6 G H 299. /44F H 00. - 2 01. 2 02. / 70 / 0. =/ 04. - 2 05. 128 06. 4m B H 07. r B s H t 08. x l 09. x 0 10. ab 0 c 8 BH 11. 4 e 7 f 4 g 5 12. 4x 1. 24y B 14. /70d H d H eh 15. 16. /0 / A 17. 5x B 18. y T B 19. ˆ BH ˆ 20. 125m 6 Alg2 - Radicals ~1~ NJTL.org
21. - 5 22. 8 / 2. 80 24. - 25. - 2 26. 27. 9p U H 28. r st T 29. 2x H 0. x @ 1. ab 4 c 7 Hw 2. m 4 n 9 p /. x 2 4. y 2 H 5. 4d d 6. 0/=\ e U 7. A @ A 8. x 9. y T 40. F T BH 41. F / =? l 42. 8e d 4. 9x 2 4y 2 44. /7dE e B@ 45. (1 2y)(1 + 2y + 4y 2 ) 46. x = 2 47. a = 26 48. x = 8 49. t = - 11 50. p = 0 51. m = 2 52. x = 5 5. m = 2 54. No solution 55. x = 0 56. g = 48 57. x = 65 58. m = =/ 0 59. b = / 0 60. x = 7 61. No real solution 62. x = 6. m = 2 64. t = 4 65. x = 1 d(d f /) 66. ea 67. 8x 2 10xy + y 2 68. 10 6 69. =/ F E G BH 70. - 60i 71. 84 72. - 15i 7. 21 74. 8i 75. 54 76. i 77. 1 78. i 79. i 80. i 81. - 1 82. - 20 8. 4 5 84. i 5 85. 2x = 14 86. 10 p 8 87. 4i 88. 6ib 2 89. 2ai 2 90. 4 x 8 y 8 i 2y 91. 6m 0 ni 2n 92. 4a b 8 i 9. 5x 4 y 6 i 94. 9i Alg2 - Radicals ~2~ NJTL.org
95. - 72 96. - 6i 97. 20 98. - 70i 99. 105 400. - 1 401. i 402. 1 40. 1 404. i 405. - 1 406. i 407. i 408. - 12 409. 6 15 410. 9i 411. 4 m 412. 15x 4 15 41. 8i 414. 11b 4 i 415. a 8 i 2 416. 4x 0 y 8 i x 417. 4r 6 i 418. 2xi x 419. 4m 8 ni 6mn 420. 4 a 8 b \ i 2 421. 27p + q 422. 12x 7 y 2-4x y 42. (4x + y)(16x 2 12xy + 9y 2 ) 424. I? 425. 2 + 2i 426. - 5 + i 427. - 2 428. 8 + 2i 429. 9 + 6i 40. - 6 i 41. 20 10i 42. - 2 12i 4. - 4 12i 44. 24 18i 45. 9 + 8i 46. - 6 22i 47. 7 + 11i 48. 10 49. - 11 i 440. 5 11i 441. 12 16i 442. 5 12i 44. - 444. 10 + i 445. 10 + 5i 446. 0 447. 5 4i 448. - 6 + i 449. 1 2i 450. 10 + 4i 451. - 0 + 6i 452. 6 + 8i 45. 8 + 12i 454. - 1 i 455. 10 + 28i 456. 65 72i 457. 29 65i 458. - 19 + 42i 459. 27 6i 460. 45 28i 461. 4q 15q 2 2q + 24 462. - 6x 2 y 2x 2 z 46. x 9x 2 + 27x 27?D 464. I(A f /) 465. - 2i 466. 8 4 467. 0 8 468. 1 2i 469. 4 470. 0 471. \ 472. 8 0 + 2i 47. 0 f 4 Alg2 - Radicals ~~ NJTL.org
474. 65 f 8 /9 475. 5 f /5 07 80 f 5 476. = 477. - 1 + i 478. 67 6 8 479. /6 0 /4 f 480. /8 481. 6\6 /9 /4 f = 482. /8 48. 5 6 /5 /8 484. f 8 05 485. 8 486. 0 487. 4 \ 488. - 1 4i 489. - i 490. 4i 491. \ 492. 0 i 49. /06 4 60 f = 494. /\ 495. / 6 = /8 496. 08f// 497. 498. 499. 0 0 f /9 05 64 f \ / 6/ 6 /\ 05 500. 0/ f 07 6/ f 8 501. 502. / f 0 50. 0 f 5 504. 6/6/\ /9 505. (m + 1)(2m 7) 506. 9x 2 y 2 1 507. 8x y 508. A(ef/) dd Alg2 - Radicals ~4~ NJTL.org