Mathematics
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OpenStudy (anonymous):
Rationalize the denominator of
Sqrt of -9/ (4-7i)-(6-6i)
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OpenStudy (anonymous):
Please helpppp
OpenStudy (anonymous):
combine like terms in the denominator first
OpenStudy (anonymous):
-13i
OpenStudy (anonymous):
you should get
\[\frac{3i}{-2-i}\] if i am reading it correctly
OpenStudy (anonymous):
No
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OpenStudy (anonymous):
That is not in my answers
Nnesha (nnesha):
first you have to distribute bracket by negative sign
OpenStudy (anonymous):
i didn't say that was the answer, i said that was the first step
there is more to go
OpenStudy (anonymous):
ok
Nnesha (nnesha):
because you did -7i -6i
instead -7i + 6i
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OpenStudy (anonymous):
-i
OpenStudy (anonymous):
is this the denominator \[(4-7i)-(6-6i)
\]
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
remove the parentheses and combine like terms
you should get what i wrote above
try it
OpenStudy (anonymous):
then there is a couple more steps to write this in standard form
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OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
I got that what do i do now
OpenStudy (anonymous):
\[\frac{3i}{-2-i}\] multiply top and bottom by the conjugate of the denominator, which is \(-2+i\)
OpenStudy (anonymous):
\[\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}\]
OpenStudy (anonymous):
the denominator will be \(2^2+1^2=5\)
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OpenStudy (anonymous):
the numerator will be whatever you get when you multiply
OpenStudy (anonymous):
So -3-6i/5
OpenStudy (anonymous):
yeah looks good
OpenStudy (anonymous):
Ca u help with another
OpenStudy (anonymous):
Which of the following is teh conjugate of a complex number with 2 as the real part and -4 as the imaginary part.
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OpenStudy (anonymous):
I think its 2+4i