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Answer :

To rationalize the denominator we have to multiply it by the conjugate, as follows:

[tex](3+\sqrt{6})(3-\sqrt{6})=3^2-(\sqrt{6}\rparen^2[/tex]

The latter considering the property (a-b)(a+b)=a^2-b^2.

Finally we have:

[tex]3^2-6=9-6=3[/tex]

The the answer is D. 3