Mathematics
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OpenStudy (anonymous):
help...
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OpenStudy (anonymous):
OpenStudy (saifoo.khan):
Helper.
OpenStudy (anonymous):
hamburger helper
OpenStudy (saifoo.khan):
loool.
OpenStudy (anonymous):
i know there is a question coming somewhere, i can just feel it...
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OpenStudy (saifoo.khan):
i can see it coming.
OpenStudy (anonymous):
\[^{} \sqrt[4]{162xy}\]
OpenStudy (anonymous):
x is to the 4th y is to the 6th
OpenStudy (anonymous):
I'm slow...
OpenStudy (anonymous):
ok first off
\[162=2\times 81\] so
\[\sqrt{162}=\sqrt{81\times 2}=\sqrt{81}\times \sqrt{2}=9\sqrt{2}\]
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OpenStudy (saifoo.khan):
\[3xy \sqrt[4]{2y^2}\]
OpenStudy (saifoo.khan):
that is a forthroot at sat.
OpenStudy (anonymous):
basically you want to know what comes outside the radical, and what stays in
OpenStudy (anonymous):
ooh
\[\sqrt[4]{162x^4y^6}\]
OpenStudy (anonymous):
yes...I am jealous ur brilliance...everyone
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OpenStudy (anonymous):
in that case
\[162=2\times 3^4\] and so
\[\sqrt[4]{162}=\sqrt[4]{2\times 3^4}=\sqrt[4]{3^4}\times \sqrt[4]{2}=3\sqrt[4]{2}\]
OpenStudy (anonymous):
likewise
\[\sqrt[4]{x^4}=x\]
OpenStudy (anonymous):
and
\[\sqrt[4]{y^6}=\sqrt[4]{y^4y^2}=\sqrt[4]{y^4}\times \sqrt[4]{y^2}=y\sqrt[4]{y^2}\]
OpenStudy (anonymous):
giving saifoo's answer of
\[3xy \sqrt[4]{2y^2}\]
OpenStudy (saifoo.khan):
haha!
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OpenStudy (anonymous):
if you are a stickler for detail it is also true that
\[\sqrt[4]{y^2}=\sqrt{y}\]
OpenStudy (saifoo.khan):
please dont be jealous.
OpenStudy (saifoo.khan):
@makenan
OpenStudy (anonymous):
i am pouting now
OpenStudy (saifoo.khan):
i did a bit mistake for sure.
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OpenStudy (anonymous):
thank you greatly