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Question
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
Solution
`sqrt(24)/8 + sqrt(54)/9 = sqrt(2 xx 2 xx 2 xx 3)/8 + sqrt(3 xx 3 xx 3 xx 2)/9`
= `(2sqrt(6))/8 + (3sqrt(6))/9`
= `sqrt(6)/4 + sqrt(6)/3`
= `(3sqrt(6) + 4sqrt(6))/12`
= `(7sqrt(6))/12`
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