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OpenStudy (omgthatgirl):
Help.
Simplify the complex number 5+square root -54 and write it in correct notation
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OpenStudy (bloomlocke367):
is it \[5+\sqrt {-54}?\]
OpenStudy (amorfide):
that is what she has yes
OpenStudy (bloomlocke367):
first, you need to take out the negative... and that looks like this:\[5+i \sqrt{54}\] because i is the same as \[\sqrt{-1}\]
OpenStudy (bloomlocke367):
@Omgthatgirl are you there?..
OpenStudy (omgthatgirl):
Yea ok got it thanks
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OpenStudy (bloomlocke367):
then you need to figure out how to finish simplifying the radical... do you know how to do that?
OpenStudy (omgthatgirl):
yea it's 5+8i
OpenStudy (jdoe0001):
\(\bf 5+\sqrt{-54}\quad {\color{brown}{ 54\to 2\cdot 3\cdot 3\cdot 3\to 2\cdot 3\cdot 3^2 }}
\\ \quad \\
5+\sqrt{-54}\implies 5+\sqrt{-1\cdot 54}\implies 5+\sqrt{-1}\cdot \sqrt{54}
\\ \quad \\
5+\sqrt{-1}\cdot \sqrt{{\color{brown}{ 2\cdot 3\cdot 3^2 }}}\)
OpenStudy (bloomlocke367):
how is it 8?...
OpenStudy (omgthatgirl):
I don't know but that was the right answer
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OpenStudy (bloomlocke367):
okayyyyyy did you was it really -54 or was it supposed to be -64?
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