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Mathematics 19 Online
OpenStudy (smurfy14):

(sqrt of 3 over 2 + 1 over 2 i)^3 I got i as my answer is that right?

OpenStudy (anonymous):

did you actually cube it?

OpenStudy (smurfy14):

ya why?

OpenStudy (anonymous):

|dw:1314846268073:dw|

OpenStudy (anonymous):

you are here on the unit circle in the complex plain.

OpenStudy (anonymous):

the angle is either 60 degrees or \[\frac{\pi}{3}\] depending on whether you are working in degrees or radians. doesn't matter

OpenStudy (smurfy14):

i dont need to graph it i just want to know if sqrt of 3 over 2 + 1/2i cubed is i

OpenStudy (anonymous):

when you cube this, it is the same as multiplying the angle by 3

OpenStudy (anonymous):

so you end up here |dw:1314846412671:dw|

OpenStudy (anonymous):

right at -1

OpenStudy (smurfy14):

so its not i?

OpenStudy (anonymous):

oh lord ignore me\!

OpenStudy (anonymous):

you are right. you are at 30 degrees so you end up at i

OpenStudy (anonymous):

must be passed my bed time sorry

OpenStudy (smurfy14):

lol alright thanks! and its no problem

OpenStudy (anonymous):

yes you are not where i said you are here |dw:1314846542938:dw|

OpenStudy (anonymous):

cube you end up right on top at i

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