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Determine which of the followings are rational and which are surds: `sqrt((3)/(12)), sqrt27, root(5)(243), root(4)((32)/(81))`

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Determine which of the followings are rational and which are surds:
`sqrt((3)/(12)), sqrt27, root(5)(243), root(4)((32)/(81))`
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Rational: `sqrt((3)/(12)), root(5)(243)`, surds: `sqrt27, root((32)/(81))`
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