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Mathematics 17 Online
OpenStudy (anonymous):

help...

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...

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 \[\sqrt{162}=\sqrt{81\times 2}=\sqrt{81}\times \sqrt{2}=9\sqrt{2}\]

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

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!

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.

OpenStudy (anonymous):

thank you greatly

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