Mathematics
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OpenStudy (ashontae19):
square root of -200 in standard form
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OpenStudy (ashontae19):
@Daddysgirl14
OpenStudy (ashontae19):
@ybarrap
OpenStudy (xapproachesinfinity):
iroot(200)=10iroot(2)
OpenStudy (xapproachesinfinity):
i is imaginary unit
OpenStudy (xapproachesinfinity):
\(\sqrt{-200}=i\sqrt{200}=i10\sqrt{2}\)
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OpenStudy (ashontae19):
oh ok i was correct i have no more if u dnt mind
OpenStudy (xapproachesinfinity):
squared by two what do you mean lol
OpenStudy (xapproachesinfinity):
post your other questions in different posts pls!!
OpenStudy (michele_laino):
hint:
we can write this:
\[\Large - 200 = 200\left\{ {\cos \left( {\pi + 2k\pi } \right) + i\sin \left( {\pi + 2k\pi } \right)} \right\}\]
OpenStudy (xapproachesinfinity):
polar form..
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OpenStudy (xapproachesinfinity):
well do the same process you did with the first
OpenStudy (xapproachesinfinity):
-7 you don't have to worry about
OpenStudy (xapproachesinfinity):
just root(-96)
OpenStudy (xapproachesinfinity):
how did root (96) simplify to 4?
OpenStudy (michele_laino):
we have two square roots:
\[\Large \begin{gathered}
\sqrt { - 200} = \sqrt {200} \left\{ {\cos \left( {\frac{\pi }{2} + k\pi } \right) + i\sin \left( {\frac{\pi }{2} + k\pi } \right)} \right\}, \hfill \\
\hfill \\
k = 0,1 \hfill \\
\end{gathered} \]
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OpenStudy (xapproachesinfinity):
root(96)=root(16x6)=4root(6)
OpenStudy (xapproachesinfinity):
oh you have root(6)
my bad i miss read your reply
OpenStudy (michele_laino):
\[\Large \begin{gathered}
\sqrt { - 96} = \sqrt {96} \left\{ {\cos \left( {\frac{\pi }{2} + k\pi } \right) + i\sin \left( {\frac{\pi }{2} + k\pi } \right)} \right\}, \hfill \\
\hfill \\
k = 0,1 \hfill \\
\end{gathered} \]
OpenStudy (xapproachesinfinity):
your answer is good!
OpenStudy (ashontae19):
yes so i was correct?
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OpenStudy (xapproachesinfinity):
yes!
OpenStudy (ashontae19):
thank youu i do not know which one to give medel to since yall both helped me
OpenStudy (xapproachesinfinity):
does not matter :)