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Mathematics 25 Online
OpenStudy (anonymous):

Put the following radical expression into simplified form.

OpenStudy (anonymous):

\[\sqrt[3]{\frac{ 4 }{ 3 }}\]

OpenStudy (anonymous):

Is the answer: \[\frac{ 2^\frac{ 2 }{ 3 } }{ 3 }\]?

OpenStudy (anonymous):

\[\frac{ \sqrt[3]{4} }{ \sqrt[3]{3} }\]

OpenStudy (anonymous):

lol really?!

OpenStudy (anonymous):

No, lol sorry, my OS is lagging...

OpenStudy (anonymous):

lol, omg :(

OpenStudy (anonymous):

\[\sqrt[3]{4}=\sqrt[3]{2^2}\] \[\frac{ 2^{2/3} }{ \sqrt[3]{3} }\] Rationalizing leads to: \[\frac{ 2^{2/3}\times3^{2/3} }{ 3 }\] \[\frac{ (2\times3)^{2/3} }{ 3 } => \frac{ 6^{2/3} }{ 3 }\]

OpenStudy (anonymous):

Ohhhhh, ok thank yooooou !!

OpenStudy (anonymous):

Np :)

OpenStudy (anonymous):

@Jack1 , this one :)

OpenStudy (jack1):

yep, batman's right

OpenStudy (anonymous):

Well, is there anyway to put it cuz it said it's wrong

OpenStudy (jack1):

no, not really \[\Large \frac{ 2^{2/3} }{ \sqrt[3]{3} }\] but @iambatman already had that as his first line

OpenStudy (anonymous):

\[\frac{ 6^\frac{ 2 }{ 3 } }{ 3 }?\]

OpenStudy (jack1):

that too

OpenStudy (anonymous):

So I can put it the way you just did with the 2^2/3 on top?

OpenStudy (jack1):

sure

OpenStudy (anonymous):

I'll try that then, thanks

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