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Mathematics 17 Online
OpenStudy (anonymous):

Help!

OpenStudy (anonymous):

\[\sqrt[3]{-1}\]

OpenStudy (anonymous):

wow

OpenStudy (anonymous):

how much is -1*-1

OpenStudy (anonymous):

\[-1*-1\]

OpenStudy (anonymous):

When I do this on my calculator, the answer says its \[\frac{ 1 }{2 }+\frac{ \sqrt{3} }{ 2}*i\]

OpenStudy (anonymous):

I don't understand how this is possible...

OpenStudy (anonymous):

dude answer is -1!!

OpenStudy (anonymous):

u got that??

OpenStudy (anonymous):

-1x-1x-1

OpenStudy (anonymous):

yes...

OpenStudy (anonymous):

so next part

OpenStudy (anonymous):

what u see there is complex number

OpenStudy (anonymous):

under complex number.....which u will learn later.............i=\[-1^{(1/2)}\]

OpenStudy (anonymous):

I already learned complex numbers

OpenStudy (anonymous):

using complex numbers we equate negative square roots which aren't defined under real numbers......

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

in that case turn the equation into i form

OpenStudy (anonymous):

what do u get??

OpenStudy (anonymous):

\[like~i^{2}=-1\]

OpenStudy (anonymous):

I also tried this on the calcultor and got \[(\frac{ 1 }{ 2 }+\frac{ \sqrt{3} }{ 2 }*i)^{3}=-1\]

OpenStudy (anonymous):

it is correct

OpenStudy (anonymous):

i still don't get this

OpenStudy (anonymous):

then u have to use the exponential notation

OpenStudy (anonymous):

of complex numbers

OpenStudy (anonymous):

it is of the form a+iB

OpenStudy (solomonzelman):

you can remember that: \(\Large\color{teal}{ \sqrt[\LARGE \rm odd~number]{-1} =-1 }\).

OpenStudy (solomonzelman):

talking about an integer odd number of course

OpenStudy (anonymous):

@SolomonZelman I think he wants to know how the calculator got that answer

OpenStudy (solomonzelman):

commn

OpenStudy (anonymous):

A+iB>>> A=1/2 and B=\[3^{1/2}/2\]

OpenStudy (anonymous):

getting it.......??? If u know Complex numbers u will understand me

OpenStudy (anonymous):

i honestly don't know how to do that in a calculator my teacher teaches us without calcs so we do this by hand it just like \[\left( \sqrt{-1} \right)^{\frac{ 3 }{ 1 }}\] which would look like \[\left( \sqrt[3]{-1} \right)^{1}\] i think. I might have the first equation exponent backwards

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