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Question
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
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Solution
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
`= 5sqrt 3 + 2 sqrt (9 xx 3) +1/sqrt3 xx sqrt 3/sqrt 3`
`= 5sqrt 3 + 6sqrt 3 +sqrt3/3`
`=(5+6+1/3)sqrt3`
`= (11 + 1/3)sqrt3`
`= ((33 + 1)/3)sqrt3`
`= 34/3sqrt 3`
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