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Find All the Complex Roots 3+i\sqrt { 3 } + i

Question 265

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex fifth roots of 3+i\sqrt { 3 } + i


A) 25(cos30+isin30) ,25(cos102+isin102) ,25(cos174+isin174) ,25(cos246+isin246) \sqrt [ 5 ] { 2 } \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 102 ^ { \circ } + i \sin 102 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 174 ^ { \circ } + i \sin 174 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 246 ^ { \circ } + i \sin 246 ^ { \circ } \right) , 25(cos318+isin318) \sqrt [ 5 ] { 2 } \left( \cos 318 ^ { \circ } + i \sin 318 ^ { \circ } \right)
B) 32(cos6+isin6) ,32(cos78+isin78) ,32(cos150+isin150) ,32(cos222+isin222) 32 \left( \cos 6 ^ { \circ } + i \sin 6 ^ { \circ } \right) , 32 \left( \cos 78 ^ { \circ } + i \sin 78 ^ { \circ } \right) , 32 \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right) , 32 \left( \cos 222 ^ { \circ } + i \sin 222 ^ { \circ } \right) , 32(cos294+isin294) 32 \left( \cos 294 ^ { \circ } + i \sin 294 ^ { \circ } \right)
C) 32(cos30+isin30) ,32(cos102+isin102) ,32(cos174+isin174) ,32(cos246+isin246) 32 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) , 32 \left( \cos 102 ^ { \circ } + i \sin 102 ^ { \circ } \right) , 32 \left( \cos 174 ^ { \circ } + i \sin 174 ^ { \circ } \right) , 32 \left( \cos 246 ^ { \circ } + i \sin 246 ^ { \circ } \right) , 32(cos318+isin318) 32 \left( \cos 318 ^ { \circ } + i \sin 318 ^ { \circ } \right)

D) 25(cos6+isin6) ,25(cos78+isin78) ,25(cos150+isin150) ,25(cos222+isin222) \sqrt [ 5 ] { 2 } \left( \cos 6 ^ { \circ } + i \sin 6 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 78 ^ { \circ } + i \sin 78 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 222 ^ { \circ } + i \sin 222 ^ { \circ } \right) , 25(cos294+isin294) \sqrt [ 5 ] { 2 } \left( \cos 294 ^ { \circ } + i \sin 294 ^ { \circ } \right)

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