Mathematics
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OpenStudy (anonymous):
(3+square root 6)(3-square root 6)
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
\[(3+\sqrt{6}) \times (3-\sqrt{6})\]
OpenStudy (anonymous):
can you simplify from there?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
does it want you to simplify or solve?
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OpenStudy (anonymous):
simplify
OpenStudy (anonymous):
Ok then, let me think.
OpenStudy (anonymous):
use FOIL - first, outside, inside, last. (for binomials)
\[(6 -3\sqrt{6} + 3\sqrt{6} + -\sqrt{12})\]
OpenStudy (anonymous):
Combine like terms
\[(6 -\sqrt{6} -\sqrt{12})\]
OpenStudy (anonymous):
And i can't remember how to simplify from there sorry >.<
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OpenStudy (anonymous):
@SolomonZelman can you help?
OpenStudy (solomonzelman):
\(\LARGE\color{blue}{ \bf (a+b)(a-b)=a^{2}-b^2}\)
your "a" is 3, and your "b" is √6 .
OpenStudy (anonymous):
ok
OpenStudy (solomonzelman):
now, @iminlove_123 please show me the steps.
OpenStudy (anonymous):
im cinfused
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OpenStudy (anonymous):
Substitute 3 for "a" and sqrt{6} for "b"
OpenStudy (solomonzelman):
\(\Large\color{blue}{ \bf (3-\sqrt{6}) (3+\sqrt{6})=3^{2}-(\sqrt{6}) ^{2}=9-6=3 }\)
OpenStudy (anonymous):
oh ok i get it
OpenStudy (anonymous):
you would get \[(3 + \sqrt{6}) \times (3 - \sqrt{6}) = 3^{2} - \sqrt{6}^{2}\]
OpenStudy (anonymous):
Dang message me back