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OpenStudy (anonymous):
anyone know this?
OpenStudy (cwtan):
yes here i come
sqrt-64=8i
The denominator is (7-6i)-(2-2i)?
OpenStudy (anonymous):
how do i distribute the denominator?
OpenStudy (cwtan):
multiply to it's conjugate
OpenStudy (anonymous):
so the conjugate of both ?
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OpenStudy (cwtan):
multiply to (conjugate of denominator)/(conjugate of denominator)
Is this clear?
OpenStudy (anonymous):
would it be 14+12i ?
OpenStudy (cwtan):
Did u mean the conjugate?
OpenStudy (anonymous):
after i multiplied both by the conjugate would i get that?
OpenStudy (anonymous):
yes no?
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OpenStudy (cwtan):
I think no.
OpenStudy (anonymous):
i don't understand this prob. at all
OpenStudy (cwtan):
is sqrt -64 divide by (7-6i)-(2-2i) OR
divide (7-6i) then whole thing minus (2-2i)?
OpenStudy (anonymous):
im sorry i still do not understand it
OpenStudy (cwtan):
\[\frac{\sqrt {-64}}{(7-6i)-(2-2i)}\]
or
\[\frac{\sqrt{-64}}{7-6i}-(2-2i)\]
which one?
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OpenStudy (anonymous):
the second one
OpenStudy (cwtan):
ok
sqrt -64=8i
8i(7+6i)=56i-48--->(Note that i x i=-1)
(7-6i)(7+6i)=49+36=85--->Using(a+b)(a-b)=a^2-b^2(also note that i^2=-1)
so it is
\[\frac{-48+56i}{85}\]