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To simplify the expression, we first need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is √3 - √6.
(3√-√6)/(√3+√6) * (√3 - √6)/(√3 - √6)
This gives us:
= (3√(3) - 3√(6) + √(18) - 6)/(3)
= (3√(3) - 3√(6) + 3√(2) - 6)/(3)
= √3 - √6 + √2 - 2
Therefore, the simplified expression is: √3 - √6 + √2 - 2