Mathematics
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OpenStudy (anonymous):
can anybody please help me with this?
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OpenStudy (anonymous):
OpenStudy (ajprincess):
R u familiar with conjugate?
OpenStudy (anonymous):
yes...
OpenStudy (ajprincess):
can u pls tel me the conjugate of \(2-\sqrt3\)
OpenStudy (anonymous):
\[2 + \sqrt {3}\]
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OpenStudy (ajprincess):
yup good:)
Nw when u multiply the numerator nd the denominator of the given fraction by it what do u get?
OpenStudy (anonymous):
\[\frac{ 4 \times 2 + \sqrt {3} }{ 4 - \sqrt ({3})^{2} }\]
OpenStudy (anonymous):
right?
OpenStudy (phi):
you should put things in parens
OpenStudy (ajprincess):
\[\frac{4(2+\sqrt3)}{4-(\sqrt3)^2}\]
\[(\sqrt3)^2=?\]
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OpenStudy (anonymous):
3 ?
OpenStudy (ajprincess):
yup right:)
nw can u simplify ur fraction?
OpenStudy (phi):
what do you get for the bottom ?
OpenStudy (anonymous):
\[\frac{ 8 + \sqrt {3} }{ 1 }\]
OpenStudy (anonymous):
like this?
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OpenStudy (ajprincess):
pls check ur numerator again:)
OpenStudy (phi):
the bottom is ok
the top, you distribute: the 4 times *each* term
OpenStudy (phi):
think of the parens as a package, and you have 2 packages
that means you have 2 of everything inside the package
OpenStudy (phi):
in your case, you have 4 of everything inside the parens
OpenStudy (anonymous):
is D the correct answer?
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OpenStudy (anonymous):
@phi
OpenStudy (phi):
the top is 4(2+sqrt(3) )
after distributing the 4 you get
4*2 + 4* sqrt(3)
which can be written
8 + 4sqrt(3)
OpenStudy (anonymous):
thanks a lot :)