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Because questions can't use punctuation the question is ambiguous. Two possible interpretations of the question, with answers are given below:

sqrt(3) + sqrt(6) / sqrt(2) = sqrt(3) + sqrt(6/2) = sqrt(3) + sqrt(3) = 2*sqrt(3)

The more likely question is:

[sqrt(3) + sqrt(6)]/sqrt(2)

Multiply numberator and denominator by sqrt(2) to give

[sqrt(2)*sqrt(3) + sqrt(2)*sqrt(6)]/[sqrt(2)*sqrt(2)]

=[sqrt(2)*sqrt(3) + 2*sqrt(3)]/2 since sqrt(2)*sqrt(2) = 2

= sqrt(3)*[sqrt(2)+1]/2

AnswerSquare root three plus square root six is square root 9 over square root two. But nine can be factored out to a perfect three so you would have 3 over square root two.
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15y ago

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