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Mathematics 12 Online
OpenStudy (anonymous):

Help pleaseeeeeeeeeeee =*(

OpenStudy (anonymous):

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OpenStudy (anonymous):

\[\sqrt{\sqrt{\sqrt{3x}}}=\sqrt[6]{3x}\]\]

OpenStudy (anonymous):

think that should be a 8 not 6

OpenStudy (anonymous):

so you have \[\sqrt[8]{3x}=\sqrt[4]{2x}\] raise each side to the power of 8

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

yeah you are right it should be \(\sqrt[8]{2x}\) raise each side to the power of 8 to clear the radicals

OpenStudy (anonymous):

\[3x=4x^2\] is what you will get then solve for \(x\)

OpenStudy (anonymous):

hey how did u get that....?

OpenStudy (anonymous):

raised both sides to the power of 8

OpenStudy (anonymous):

wait what? why?

OpenStudy (anonymous):

\[\sqrt[8]{3x}^8=3x\] \[\sqrt[4]{2x}^8=(2x)^2=4x^2\]

OpenStudy (anonymous):

why? to get rid of the radicals

OpenStudy (anonymous):

but i don't understand why when the base is different numbers

OpenStudy (anonymous):

if you want to get rid of the racial on \(\sqrt[8]{3x}\) it should be pretty clear you have to raise it to the power of 8 right?

OpenStudy (anonymous):

lol "radical"

OpenStudy (anonymous):

no i don't understand that part is that like a rule or something?

OpenStudy (anonymous):

when r u allowed to do that? when they're both divisible by the same number?

OpenStudy (anonymous):

how else can you do it? you have the eighth root if you want to get it without the eighth root you have to raise it to the power of 8

OpenStudy (anonymous):

what else can you do?

OpenStudy (anonymous):

so you just come up with the 8 out of thin air? there isn't a rule or anything?

OpenStudy (anonymous):

no , it was the eighth root if it was the fifteenth root, you would have to do something different

OpenStudy (anonymous):

.... omg im so lost and nervous

OpenStudy (anonymous):

I'm seriously not understanding that part

OpenStudy (anonymous):

how are you going to get the \(3x\) outside of the radical ? you have \[\sqrt[8]{3x}\] what can you do to get rid of that radical?

OpenStudy (anonymous):

if you square it, you would still have a radical wouldn't you ?

OpenStudy (anonymous):

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