Lecture Notes on Mixed Radicals

Lecture Notes on Mixed Radicals - 4D I Last update June 13...

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Unformatted text preview: 4D I Last update : June 13!!! 2013- Evaluate each of the followin if ossible. 36. 4% 3?. 125% 33. 3% Answer 4% = J; = 2 6 3.6 = a _.__._.__. _____ __ _.________?___ W “"1. a; I | {I 39. 31% l ‘0! (_27)-§ l 41 92.5 6 Answer: I I 1 I q 1. : at?) 814;((:§1 i < '3 _ A? ) i Z 5 5 I I I t we I I | | ! ! Write each radical expression using exponents. Assume all expressions under radial: represent sitive numbers. 42. 45 Answer +4. —3J2_x 43. 3 y“ Recall the connection between I I | I I the rational exponent and I radical form. | I I | I | I P a g C 11 Radicals Cnnfighxflathheammmm. Use wi'lh permissian. DommnfierjuneZGfl 9x 3 3'— : 7g (5 bi mm _ lasllglh‘IEZIIIEIIfll‘IZDEI 54 i % wH’h gm-wms' L/ .p F% Write each anemia! gamma using raditflls. 48. 7% 49‘ (32$ so. 41;? Answer: W The moment is refined b5 the “Fourth raot'. Matcwhwcpauut nyptigsto Q be 2/3 b M . .- a _ ........ ..3_.":’T:”.“_T._.:”T‘_’.‘. ......... _. 32k 5 d 51. 21y? 5.2. fizzy): 53. (125cm): 1‘ (5 [35“ ball ) 1 a. a q 1 E ( 5 {35 if”: b ) Simplify your answer above. fitnplifyynnr answer above. Shnpljfyyouransw about. (5 623“ 5” 3‘ 6 1-w- 531' (1505’ in" ff) arrh‘r: Paol'tcoJZ (11 if mrfiflfiwmm rc Lon-Eff. 5’3 0-3 3* c? 55ammmp T fjifi? wumiv‘fifi unmixed radical. k}. wane aways ‘m; P a g e 12 "helical: '33 Cu Lghlflalhhmnxnm Us. um: n. nomadiqu um '0 W m 5‘2 (43 x’fL {1g {5 223 Last update : lune lath 2013 Simplifying Radicals: A radical is not in simplest form if the radicand has a perfect square factor. METHOD 1 METHOD 2 Simplify. «is—o Simplify. m JET} is called an Wradical. {5—0 = «[5 x 5 x 2 Factor the radicand. (5—0 is not a perfect sq uare, but SCI has a perfect When a ram-"Ir ls present square factor: 25. twice. it can be removed (as a Single) from under the m = 1'25 x 2 We know the square root of radical- 25...it is 5. We cannot simplify‘fi = 5 x J: We write this as a W. #25): =5xJi Wewfltethlsasa mm = W = 515’ Cub [0 Write the fullawi as mixed radicals in sim lest form. 3 56. 'Jfi § *3 [5% 5 '5 [316 G '5‘ 4214: ______________ __ 7’5 5‘5 59, #200 “‘57—'13? '''''''''''''''' “5:35:14 ____________ " 64-. 3 432 P a g t": 13 Cane-ighlflmhhcammrnm Use with pumissinrt. Donut mafierjuneimlé _,..-r--—“‘*--:. t 1’ Last update : lune lBtI'I 2013 Write the followln as mixed radicals in 31111 e es. 2m 56. ~5v’500 5?. gm 1 = '3')": #9 X 10 1 = -3- x 3 x fill = 1 xx’fi = «IE 53. % 69 i 108 7a. {#5000 _._.._._.._..._._.._._._.._.._.._..a_._._._._._._._.._._.._._._.._I— 71. Challenge. Write 44/5 as an entire radical. a....._......._._.._.._.._........._........._._...._.._........._..._........M.hflfi.fl#.fi~.#.~.mflmfl.wflfl_hfl...__ 3'2. Challenge. Write —2§J§ as an entire radical. F El g L": 14 Calm-i313: Mathheammmm. Use with permissian Do not mafierjune 201$ ...
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