What is the following quotient? the fraction with numerator 6 minus 3 times open paren cube root of 6 close paren and denominator cube root of 9

Split the fraction: 6/∛9 − 3∛6/∛9. Since ∛9 · ∛3 = 3, the first term is 2∛3; and ∛6/∛9 = ∛(2/3), so the second term is 3∛(2/3) = ∛18. The quotient is 2∛3 − ∛18, which is choice D.

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